id	sid	tid	token	lemma	pos
cana-513	1	1	impact	impact	NOUN
cana-513	1	2	of	of	ADP
cana-513	1	3	yoga	yoga	NOUN
cana-513	1	4	awareness	awareness	NOUN
cana-513	1	5	on	on	ADP
cana-513	1	6	transmission	transmission	NOUN
cana-513	1	7	dynamics	dynamic	NOUN
cana-513	1	8	of	of	ADP
cana-513	1	9	communicable	communicable	NOUN
cana-513	1	10	diseases	disease	NOUN
cana-513	1	11	:	:	PUNCT
cana-513	1	12	sir	sir	NOUN
cana-513	1	13	model	model	NOUN
cana-513	1	14	analysis	analysis	NOUN
cana-513	1	15	raghu	raghu	PROPN
cana-513	1	16	bir	bir	PROPN
cana-513	1	17	bhatta1	bhatta1	PROPN
cana-513	1	18	,	,	PUNCT
cana-513	1	19	samir	samir	PROPN
cana-513	1	20	shrestha2	shrestha2	PROPN
cana-513	1	21	,	,	PUNCT
cana-513	1	22	dinesh	dinesh	PROPN
cana-513	1	23	panthi3	panthi3	PROPN
cana-513	1	24	,	,	PUNCT
cana-513	1	25	chet	chet	PROPN
cana-513	1	26	raj	raj	PROPN
cana-513	1	27	bhatta4	bhatta4	PROPN
cana-513	1	28	1aishwarya	1aishwarya	NUM
cana-513	1	29	multiple	multiple	ADJ
cana-513	1	30	campus	campus	NOUN
cana-513	1	31	,	,	PUNCT
cana-513	1	32	kailali	kailali	PROPN
cana-513	1	33	,	,	PUNCT
cana-513	1	34	nepal	nepal	PROPN
cana-513	1	35	2department	2department	NUM
cana-513	1	36	of	of	ADP
cana-513	1	37	mathematics	mathematic	NOUN
cana-513	1	38	,	,	PUNCT
cana-513	1	39	kathmandu	kathmandu	PROPN
cana-513	1	40	university	university	NOUN
cana-513	1	41	,	,	PUNCT
cana-513	1	42	nepal	nepal	ADJ
cana-513	1	43	3valmeeki	3valmeeki	NUM
cana-513	1	44	campus	campus	NOUN
cana-513	1	45	,	,	PUNCT
cana-513	1	46	nepal	nepal	PROPN
cana-513	1	47	sanskrit	sanskrit	PROPN
cana-513	1	48	university	university	PROPN
cana-513	1	49	,	,	PUNCT
cana-513	1	50	kathmandu	kathmandu	NOUN
cana-513	1	51	,	,	PUNCT
cana-513	1	52	nepal	nepal	ADJ
cana-513	1	53	4central	4central	PROPN
cana-513	1	54	department	department	NOUN
cana-513	1	55	of	of	ADP
cana-513	1	56	mathematics	mathematics	PROPN
cana-513	1	57	,	,	PUNCT
cana-513	1	58	tribhuvan	tribhuvan	PROPN
cana-513	1	59	university	university	PROPN
cana-513	1	60	,	,	PUNCT
cana-513	1	61	nepal	nepal	ADJ
cana-513	1	62	corresponding	corresponding	ADJ
cana-513	1	63	author	author	NOUN
cana-513	1	64	:	:	PUNCT
cana-513	1	65	raghu	raghu	PROPN
cana-513	1	66	bir	bir	PROPN
cana-513	1	67	bhatta	bhatta	PROPN
cana-513	1	68	,	,	PUNCT
cana-513	1	69	email	email	NOUN
cana-513	1	70	:	:	PUNCT
cana-513	1	71	bhattaraghu2029@gmail.com	bhattaraghu2029@gmail.com	X
cana-513	1	72	communications	communication	NOUN
cana-513	1	73	on	on	ADP
cana-513	1	74	applied	apply	VERB
cana-513	1	75	nonlinear	nonlinear	ADJ
cana-513	1	76	analysis	analysis	NOUN
cana-513	1	77	issn	issn	NOUN
cana-513	1	78	:	:	PUNCT
cana-513	1	79	1074	1074	NUM
cana-513	1	80	-	-	PUNCT
cana-513	1	81	133x	133x	NUM
cana-513	1	82	vol	vol	NOUN
cana-513	1	83	31	31	NUM
cana-513	1	84	no	no	NOUN
cana-513	1	85	.	.	NOUN
cana-513	1	86	2	2	NUM
cana-513	1	87	(	(	PUNCT
cana-513	1	88	2024	2024	NUM
cana-513	1	89	)	)	PUNCT
cana-513	1	90	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	1	91	55	55	NUM
cana-513	1	92	article	article	NOUN
cana-513	1	93	history	history	NOUN
cana-513	1	94	:	:	PUNCT
cana-513	1	95	received	receive	VERB
cana-513	1	96	:	:	PUNCT
cana-513	1	97	24	24	NUM
cana-513	1	98	-	-	PUNCT
cana-513	1	99	01	01	NUM
cana-513	1	100	-	-	PUNCT
cana-513	1	101	2024	2024	NUM
cana-513	1	102	revised	revise	VERB
cana-513	1	103	:	:	PUNCT
cana-513	1	104	28	28	NUM
cana-513	1	105	-	-	SYM
cana-513	1	106	03	03	NUM
cana-513	1	107	-	-	PUNCT
cana-513	1	108	2024	2024	NUM
cana-513	1	109	accepted	accept	VERB
cana-513	1	110	:	:	PUNCT
cana-513	1	111	26	26	NUM
cana-513	1	112	-	-	PUNCT
cana-513	1	113	04	04	NUM
cana-513	1	114	-	-	PUNCT
cana-513	1	115	2024	2024	NUM
cana-513	1	116	abstract	abstract	ADJ
cana-513	1	117	communicable	communicable	NOUN
cana-513	1	118	diseases	disease	NOUN
cana-513	1	119	are	be	AUX
cana-513	1	120	major	major	ADJ
cana-513	1	121	health	health	NOUN
cana-513	1	122	problems	problem	NOUN
cana-513	1	123	that	that	PRON
cana-513	1	124	affect	affect	VERB
cana-513	1	125	the	the	DET
cana-513	1	126	whole	whole	ADJ
cana-513	1	127	economy	economy	NOUN
cana-513	1	128	of	of	ADP
cana-513	1	129	the	the	DET
cana-513	1	130	na	na	NOUN
cana-513	1	131	-	-	NOUN
cana-513	1	132	tion	tion	NOUN
cana-513	1	133	.	.	PUNCT
cana-513	2	1	so	so	ADV
cana-513	2	2	it	it	PRON
cana-513	2	3	becomes	become	VERB
cana-513	2	4	the	the	DET
cana-513	2	5	prime	prime	ADJ
cana-513	2	6	agenda	agenda	NOUN
cana-513	2	7	of	of	ADP
cana-513	2	8	developed	developed	ADJ
cana-513	2	9	and	and	CCONJ
cana-513	2	10	developing	develop	VERB
cana-513	2	11	countries	country	NOUN
cana-513	2	12	to	to	PART
cana-513	2	13	educate	educate	VERB
cana-513	2	14	peo	peo	PROPN
cana-513	2	15	-	-	PUNCT
cana-513	2	16	ple	ple	PROPN
cana-513	2	17	about	about	ADP
cana-513	2	18	disease	disease	NOUN
cana-513	2	19	dynamics	dynamic	NOUN
cana-513	2	20	and	and	CCONJ
cana-513	2	21	control	control	NOUN
cana-513	2	22	strategies	strategy	NOUN
cana-513	2	23	.	.	PUNCT
cana-513	3	1	due	due	ADP
cana-513	3	2	to	to	ADP
cana-513	3	3	changes	change	NOUN
cana-513	3	4	in	in	ADP
cana-513	3	5	people	people	NOUN
cana-513	3	6	’s	’s	PART
cana-513	3	7	living	living	NOUN
cana-513	3	8	styles	style	NOUN
cana-513	3	9	,	,	PUNCT
cana-513	3	10	disease	disease	NOUN
cana-513	3	11	treatment	treatment	NOUN
cana-513	3	12	modality	modality	NOUN
cana-513	3	13	has	have	AUX
cana-513	3	14	been	be	AUX
cana-513	3	15	changed	change	VERB
cana-513	3	16	.	.	PUNCT
cana-513	4	1	so	so	ADV
cana-513	4	2	,	,	PUNCT
cana-513	4	3	we	we	PRON
cana-513	4	4	have	have	AUX
cana-513	4	5	introduced	introduce	VERB
cana-513	4	6	yoga	yoga	NOUN
cana-513	4	7	awareness	awareness	NOUN
cana-513	4	8	as	as	ADP
cana-513	4	9	control	control	NOUN
cana-513	4	10	strategy	strategy	NOUN
cana-513	4	11	which	which	PRON
cana-513	4	12	includes	include	VERB
cana-513	4	13	ahar	ahar	PROPN
cana-513	4	14	,	,	PUNCT
cana-513	4	15	vihar	vihar	PROPN
cana-513	4	16	,	,	PUNCT
cana-513	4	17	achar	achar	PROPN
cana-513	4	18	and	and	CCONJ
cana-513	4	19	vichar	vichar	NOUN
cana-513	4	20	.	.	PUNCT
cana-513	5	1	they	they	PRON
cana-513	5	2	are	be	AUX
cana-513	5	3	means	mean	NOUN
cana-513	5	4	for	for	ADP
cana-513	5	5	achiev	achiev	NOUN
cana-513	5	6	-	-	PUNCT
cana-513	5	7	ing	ing	NOUN
cana-513	5	8	the	the	DET
cana-513	5	9	physical	physical	ADJ
cana-513	5	10	,	,	PUNCT
cana-513	5	11	mental	mental	ADJ
cana-513	5	12	,	,	PUNCT
cana-513	5	13	social	social	ADJ
cana-513	5	14	and	and	CCONJ
cana-513	5	15	spiritual	spiritual	ADJ
cana-513	5	16	wellbeing	wellbeing	NOUN
cana-513	5	17	.	.	PUNCT
cana-513	6	1	our	our	PRON
cana-513	6	2	main	main	ADJ
cana-513	6	3	aim	aim	NOUN
cana-513	6	4	is	be	AUX
cana-513	6	5	to	to	PART
cana-513	6	6	model	model	VERB
cana-513	6	7	the	the	DET
cana-513	6	8	role	role	NOUN
cana-513	6	9	of	of	ADP
cana-513	6	10	yoga	yoga	NOUN
cana-513	6	11	awareness	awareness	NOUN
cana-513	6	12	in	in	ADP
cana-513	6	13	controlling	control	VERB
cana-513	6	14	the	the	DET
cana-513	6	15	disease	disease	NOUN
cana-513	6	16	dynamics	dynamic	NOUN
cana-513	6	17	.	.	PUNCT
cana-513	7	1	it	it	PRON
cana-513	7	2	maintains	maintain	VERB
cana-513	7	3	the	the	DET
cana-513	7	4	physical	physical	ADJ
cana-513	7	5	fitness	fitness	NOUN
cana-513	7	6	of	of	ADP
cana-513	7	7	practitioners	practitioner	NOUN
cana-513	7	8	and	and	CCONJ
cana-513	7	9	improve	improve	VERB
cana-513	7	10	the	the	DET
cana-513	7	11	whole	whole	ADJ
cana-513	7	12	metabolism	metabolism	NOUN
cana-513	7	13	system	system	NOUN
cana-513	7	14	of	of	ADP
cana-513	7	15	the	the	DET
cana-513	7	16	human	human	ADJ
cana-513	7	17	body	body	NOUN
cana-513	7	18	.	.	PUNCT
cana-513	8	1	in	in	ADP
cana-513	8	2	this	this	DET
cana-513	8	3	work	work	NOUN
cana-513	8	4	,	,	PUNCT
cana-513	8	5	the	the	DET
cana-513	8	6	previous	previous	ADJ
cana-513	8	7	sir	sir	NOUN
cana-513	8	8	model	model	NOUN
cana-513	8	9	is	be	AUX
cana-513	8	10	modified	modify	VERB
cana-513	8	11	by	by	ADP
cana-513	8	12	incorporating	incorporate	VERB
cana-513	8	13	a	a	DET
cana-513	8	14	new	new	ADJ
cana-513	8	15	awareness	awareness	NOUN
cana-513	8	16	transmission	transmission	NOUN
cana-513	8	17	rate	rate	NOUN
cana-513	8	18	β	β	NOUN
cana-513	8	19	1	1	NUM
cana-513	8	20	to	to	ADP
cana-513	8	21	the	the	DET
cana-513	8	22	existing	exist	VERB
cana-513	8	23	model	model	NOUN
cana-513	8	24	.	.	PUNCT
cana-513	9	1	real	real	ADJ
cana-513	9	2	life	life	NOUN
cana-513	9	3	situation	situation	NOUN
cana-513	9	4	data	datum	NOUN
cana-513	9	5	of	of	ADP
cana-513	9	6	yoga	yoga	NOUN
cana-513	9	7	aware	aware	ADJ
cana-513	9	8	and	and	CCONJ
cana-513	9	9	aware	aware	ADJ
cana-513	9	10	infected	infected	ADJ
cana-513	9	11	individuals	individual	NOUN
cana-513	9	12	were	be	AUX
cana-513	9	13	col	col	NOUN
cana-513	9	14	-	-	VERB
cana-513	9	15	lected	lected	ADJ
cana-513	9	16	from	from	ADP
cana-513	9	17	different	different	ADJ
cana-513	9	18	yoga	yoga	NOUN
cana-513	9	19	centers	center	NOUN
cana-513	9	20	of	of	ADP
cana-513	9	21	sudurpashchim	sudurpashchim	PROPN
cana-513	9	22	province	province	PROPN
cana-513	9	23	,	,	PUNCT
cana-513	9	24	nepal	nepal	NOUN
cana-513	9	25	and	and	CCONJ
cana-513	9	26	analyzed	analyze	VERB
cana-513	9	27	by	by	ADP
cana-513	9	28	using	use	VERB
cana-513	9	29	mathematical	mathematical	ADJ
cana-513	9	30	techniques	technique	NOUN
cana-513	9	31	.	.	PUNCT
cana-513	10	1	stability	stability	NOUN
cana-513	10	2	analysis	analysis	NOUN
cana-513	10	3	of	of	ADP
cana-513	10	4	governing	govern	VERB
cana-513	10	5	by	by	ADP
cana-513	10	6	ordinary	ordinary	ADJ
cana-513	10	7	differential	differential	ADJ
cana-513	10	8	equations	equation	NOUN
cana-513	10	9	showed	show	VERB
cana-513	10	10	that	that	SCONJ
cana-513	10	11	model	model	NOUN
cana-513	10	12	is	be	AUX
cana-513	10	13	stable	stable	ADJ
cana-513	10	14	.	.	PUNCT
cana-513	11	1	yoga	yoga	NOUN
cana-513	11	2	awareness	awareness	NOUN
cana-513	11	3	reproduction	reproduction	NOUN
cana-513	11	4	number	number	NOUN
cana-513	11	5	ra	ra	PROPN
cana-513	11	6	was	be	AUX
cana-513	11	7	calculated	calculate	VERB
cana-513	11	8	by	by	ADP
cana-513	11	9	next	next	ADJ
cana-513	11	10	-	-	PUNCT
cana-513	11	11	generation	generation	NOUN
cana-513	11	12	matrix	matrix	NOUN
cana-513	11	13	method	method	NOUN
cana-513	11	14	.	.	PUNCT
cana-513	12	1	sensitivity	sensitivity	NOUN
cana-513	12	2	analysis	analysis	NOUN
cana-513	12	3	of	of	ADP
cana-513	12	4	ra	ra	PROPN
cana-513	12	5	and	and	CCONJ
cana-513	12	6	concerning	concern	VERB
cana-513	12	7	parameters	parameter	NOUN
cana-513	12	8	indicate	indicate	VERB
cana-513	12	9	that	that	SCONJ
cana-513	12	10	ra	ra	PROPN
cana-513	12	11	decreases	decrease	VERB
cana-513	12	12	with	with	ADP
cana-513	12	13	an	an	DET
cana-513	12	14	increase	increase	NOUN
cana-513	12	15	in	in	ADP
cana-513	12	16	yoga	yoga	NOUN
cana-513	12	17	awareness	awareness	NOUN
cana-513	12	18	coverage	coverage	NOUN
cana-513	12	19	level	level	NOUN
cana-513	12	20	.	.	PUNCT
cana-513	13	1	also	also	ADV
cana-513	13	2	,	,	PUNCT
cana-513	13	3	the	the	DET
cana-513	13	4	recovery	recovery	NOUN
cana-513	13	5	rate	rate	NOUN
cana-513	13	6	has	have	VERB
cana-513	13	7	the	the	DET
cana-513	13	8	opposite	opposite	ADJ
cana-513	13	9	relation	relation	NOUN
cana-513	13	10	with	with	ADP
cana-513	13	11	ra	ra	NOUN
cana-513	13	12	which	which	PRON
cana-513	13	13	indicates	indicate	VERB
cana-513	13	14	that	that	SCONJ
cana-513	13	15	the	the	DET
cana-513	13	16	recovery	recovery	NOUN
cana-513	13	17	period	period	NOUN
cana-513	13	18	also	also	ADV
cana-513	13	19	decreases	decrease	VERB
cana-513	13	20	with	with	ADP
cana-513	13	21	an	an	DET
cana-513	13	22	increase	increase	NOUN
cana-513	13	23	in	in	ADP
cana-513	13	24	awareness	awareness	NOUN
cana-513	13	25	coverage	coverage	NOUN
cana-513	13	26	.	.	PUNCT
cana-513	14	1	local	local	ADJ
cana-513	14	2	and	and	CCONJ
cana-513	14	3	global	global	ADJ
cana-513	14	4	stability	stability	NOUN
cana-513	14	5	analysis	analysis	NOUN
cana-513	14	6	showed	show	VERB
cana-513	14	7	that	that	SCONJ
cana-513	14	8	disease	disease	NOUN
cana-513	14	9	-	-	PUNCT
cana-513	14	10	free	free	ADJ
cana-513	14	11	equilibrium	equilibrium	NOUN
cana-513	14	12	exists	exist	VERB
cana-513	14	13	when	when	SCONJ
cana-513	14	14	ra	ra	PROPN
cana-513	14	15	<	<	X
cana-513	14	16	1	1	NUM
cana-513	14	17	and	and	CCONJ
cana-513	14	18	endemic	endemic	ADJ
cana-513	14	19	equilibrium	equilibrium	NOUN
cana-513	14	20	exists	exist	VERB
cana-513	14	21	when	when	SCONJ
cana-513	14	22	ra	ra	PROPN
cana-513	14	23	>	>	X
cana-513	14	24	1	1	X
cana-513	14	25	.	.	PUNCT
cana-513	14	26	numerical	numerical	ADJ
cana-513	14	27	simulations	simulation	NOUN
cana-513	14	28	also	also	ADV
cana-513	14	29	support	support	VERB
cana-513	14	30	the	the	DET
cana-513	14	31	analytical	analytical	ADJ
cana-513	14	32	results	result	NOUN
cana-513	14	33	and	and	CCONJ
cana-513	14	34	suggest	suggest	VERB
cana-513	14	35	that	that	SCONJ
cana-513	14	36	yoga	yoga	NOUN
cana-513	14	37	awareness	awareness	NOUN
cana-513	14	38	has	have	VERB
cana-513	14	39	a	a	DET
cana-513	14	40	positive	positive	ADJ
cana-513	14	41	influence	influence	NOUN
cana-513	14	42	on	on	ADP
cana-513	14	43	controlling	control	VERB
cana-513	14	44	disease	disease	NOUN
cana-513	14	45	d	d	NOUN
cana-513	14	46	ynamics	ynamic	NOUN
cana-513	14	47	.	.	PUNCT
cana-513	15	1	the	the	DET
cana-513	15	2	increase	increase	NOUN
cana-513	15	3	in	in	ADP
cana-513	15	4	the	the	DET
cana-513	15	5	coverage	coverage	NOUN
cana-513	15	6	of	of	ADP
cana-513	15	7	awareness	awareness	NOUN
cana-513	15	8	leads	lead	VERB
cana-513	15	9	to	to	ADP
cana-513	15	10	reduced	reduce	VERB
cana-513	15	11	susceptibility	susceptibility	NOUN
cana-513	15	12	and	and	CCONJ
cana-513	15	13	infectivity	infectivity	NOUN
cana-513	15	14	.	.	PUNCT
cana-513	16	1	so	so	ADV
cana-513	16	2	propagation	propagation	NOUN
cana-513	16	3	of	of	ADP
cana-513	16	4	disease	disease	NOUN
cana-513	16	5	can	can	AUX
cana-513	16	6	be	be	AUX
cana-513	16	7	controlled	control	VERB
cana-513	16	8	by	by	ADP
cana-513	16	9	yoga	yoga	NOUN
cana-513	16	10	awareness	awareness	NOUN
cana-513	16	11	.	.	PUNCT
cana-513	17	1	keywords	keyword	NOUN
cana-513	17	2	:	:	PUNCT
cana-513	17	3	transmission	transmission	NOUN
cana-513	17	4	dynamics	dynamic	NOUN
cana-513	17	5	,	,	PUNCT
cana-513	17	6	yoga	yoga	NOUN
cana-513	17	7	awareness	awareness	NOUN
cana-513	17	8	,	,	PUNCT
cana-513	17	9	transmission	transmission	NOUN
cana-513	17	10	rate	rate	NOUN
cana-513	17	11	,	,	PUNCT
cana-513	17	12	immunity	immunity	NOUN
cana-513	17	13	,	,	PUNCT
cana-513	17	14	endemic	endemic	ADJ
cana-513	17	15	equi	equi	NOUN
cana-513	17	16	-	-	PUNCT
cana-513	17	17	librium	librium	NOUN
cana-513	17	18	.	.	PUNCT
cana-513	18	1	1	1	NUM
cana-513	18	2	introduction	introduction	NOUN
cana-513	18	3	people	people	NOUN
cana-513	18	4	have	have	AUX
cana-513	18	5	been	be	AUX
cana-513	18	6	suffering	suffer	VERB
cana-513	18	7	from	from	ADP
cana-513	18	8	communicable	communicable	NOUN
cana-513	18	9	diseases	disease	NOUN
cana-513	18	10	for	for	ADP
cana-513	18	11	thousands	thousand	NOUN
cana-513	18	12	of	of	ADP
cana-513	18	13	years	year	NOUN
cana-513	18	14	because	because	SCONJ
cana-513	18	15	of	of	ADP
cana-513	18	16	viruses	virus	NOUN
cana-513	18	17	present	present	ADJ
cana-513	18	18	in	in	ADP
cana-513	18	19	the	the	DET
cana-513	18	20	environment	environment	NOUN
cana-513	18	21	.	.	PUNCT
cana-513	19	1	they	they	PRON
cana-513	19	2	can	can	AUX
cana-513	19	3	easily	easily	ADV
cana-513	19	4	affect	affect	VERB
cana-513	19	5	people	people	NOUN
cana-513	19	6	.	.	PUNCT
cana-513	20	1	it	it	PRON
cana-513	20	2	is	be	AUX
cana-513	20	3	very	very	ADV
cana-513	20	4	difficult	difficult	ADJ
cana-513	20	5	to	to	PART
cana-513	20	6	control	control	VERB
cana-513	20	7	its	its	PRON
cana-513	20	8	trans	trans	ADJ
cana-513	20	9	-	-	NOUN
cana-513	20	10	mission	mission	NOUN
cana-513	20	11	mechanism	mechanism	NOUN
cana-513	20	12	.	.	PUNCT
cana-513	21	1	so	so	ADV
cana-513	21	2	one	one	NUM
cana-513	21	3	of	of	ADP
cana-513	21	4	the	the	DET
cana-513	21	5	cheapest	cheap	ADJ
cana-513	21	6	ways	way	NOUN
cana-513	21	7	to	to	PART
cana-513	21	8	control	control	VERB
cana-513	21	9	its	its	PRON
cana-513	21	10	transmission	transmission	NOUN
cana-513	21	11	mechanism	mechanism	NOUN
cana-513	21	12	is	be	AUX
cana-513	21	13	to	to	PART
cana-513	21	14	adopt	adopt	VERB
cana-513	21	15	healthy	healthy	ADJ
cana-513	21	16	habits	habit	NOUN
cana-513	21	17	that	that	PRON
cana-513	21	18	increase	increase	VERB
cana-513	21	19	our	our	PRON
cana-513	21	20	body	body	NOUN
cana-513	21	21	’s	’s	PART
cana-513	21	22	immunity	immunity	NOUN
cana-513	21	23	power	power	NOUN
cana-513	21	24	that	that	PRON
cana-513	21	25	can	can	AUX
cana-513	21	26	prevent	prevent	VERB
cana-513	21	27	the	the	DET
cana-513	21	28	entry	entry	NOUN
cana-513	21	29	of	of	ADP
cana-513	21	30	virus	virus	NOUN
cana-513	21	31	in	in	ADP
cana-513	21	32	our	our	PRON
cana-513	21	33	body	body	NOUN
cana-513	21	34	.	.	PUNCT
cana-513	22	1	communicable	communicable	NOUN
cana-513	22	2	diseases	disease	NOUN
cana-513	22	3	like	like	ADP
cana-513	22	4	covid-19	covid-19	PROPN
cana-513	22	5	,	,	PUNCT
cana-513	22	6	influenza	influenza	NOUN
cana-513	22	7	,	,	PUNCT
cana-513	22	8	ebola	ebola	PROPN
cana-513	22	9	,	,	PUNCT
cana-513	22	10	sars	sar	NOUN
cana-513	22	11	,	,	PUNCT
cana-513	22	12	avian	avian	ADJ
cana-513	22	13	and	and	CCONJ
cana-513	22	14	swine	swine	ADJ
cana-513	22	15	in	in	ADP
cana-513	22	16	-	-	PUNCT
cana-513	22	17	fluenza	fluenza	ADJ
cana-513	22	18	etc	etc	X
cana-513	22	19	are	be	AUX
cana-513	22	20	spreading	spread	VERB
cana-513	22	21	day	day	NOUN
cana-513	22	22	by	by	ADP
cana-513	22	23	day	day	NOUN
cana-513	22	24	.	.	PUNCT
cana-513	23	1	they	they	PRON
cana-513	23	2	become	become	VERB
cana-513	23	3	major	major	ADJ
cana-513	23	4	health	health	NOUN
cana-513	23	5	problems	problem	NOUN
cana-513	23	6	which	which	PRON
cana-513	23	7	affect	affect	VERB
cana-513	23	8	the	the	DET
cana-513	23	9	whole	whole	ADJ
cana-513	23	10	economy	economy	NOUN
cana-513	23	11	of	of	ADP
cana-513	23	12	the	the	DET
cana-513	23	13	nation	nation	NOUN
cana-513	23	14	.	.	PUNCT
cana-513	24	1	so	so	ADV
cana-513	24	2	it	it	PRON
cana-513	24	3	has	have	AUX
cana-513	24	4	become	become	VERB
cana-513	24	5	the	the	DET
cana-513	24	6	prime	prime	ADJ
cana-513	24	7	agenda	agenda	NOUN
cana-513	24	8	of	of	ADP
cana-513	24	9	developed	developed	ADJ
cana-513	24	10	and	and	CCONJ
cana-513	24	11	developing	develop	VERB
cana-513	24	12	countries	country	NOUN
cana-513	24	13	to	to	PART
cana-513	24	14	control	control	VERB
cana-513	24	15	such	such	ADJ
cana-513	24	16	diseases	disease	NOUN
cana-513	24	17	.	.	PUNCT
cana-513	25	1	it	it	PRON
cana-513	25	2	seems	seem	VERB
cana-513	25	3	necessary	necessary	ADJ
cana-513	25	4	to	to	PART
cana-513	25	5	educate	educate	VERB
cana-513	25	6	people	people	NOUN
cana-513	25	7	about	about	ADP
cana-513	25	8	the	the	DET
cana-513	25	9	dynamics	dynamic	NOUN
cana-513	25	10	of	of	ADP
cana-513	25	11	communica	communica	NOUN
cana-513	25	12	-	-	PUNCT
cana-513	25	13	ble	ble	ADJ
cana-513	25	14	diseases	disease	NOUN
cana-513	25	15	and	and	CCONJ
cana-513	25	16	to	to	PART
cana-513	25	17	develop	develop	VERB
cana-513	25	18	a	a	DET
cana-513	25	19	new	new	ADJ
cana-513	25	20	control	control	NOUN
cana-513	25	21	strategy	strategy	NOUN
cana-513	25	22	.	.	PUNCT
cana-513	26	1	the	the	DET
cana-513	26	2	spread	spread	NOUN
cana-513	26	3	of	of	ADP
cana-513	26	4	a	a	DET
cana-513	26	5	communicable	communicable	NOUN
cana-513	26	6	disease	disease	NOUN
cana-513	26	7	is	be	AUX
cana-513	26	8	often	often	ADV
cana-513	26	9	accompanied	accompany	VERB
cana-513	26	10	by	by	ADP
cana-513	26	11	a	a	DET
cana-513	26	12	rise	rise	NOUN
cana-513	26	13	in	in	ADP
cana-513	26	14	awareness	awareness	NOUN
cana-513	26	15	of	of	ADP
cana-513	26	16	those	those	PRON
cana-513	26	17	in	in	ADP
cana-513	26	18	the	the	DET
cana-513	26	19	social	social	ADJ
cana-513	26	20	vicinity	vicinity	NOUN
cana-513	26	21	of	of	ADP
cana-513	26	22	infected	infected	ADJ
cana-513	26	23	individuals	individual	NOUN
cana-513	26	24	.	.	PUNCT
cana-513	27	1	yoga	yoga	NOUN
cana-513	27	2	class	class	NOUN
cana-513	27	3	or	or	CCONJ
cana-513	27	4	any	any	DET
cana-513	27	5	other	other	ADJ
cana-513	27	6	health	health	NOUN
cana-513	27	7	-	-	PUNCT
cana-513	27	8	related	relate	VERB
cana-513	27	9	classes	class	NOUN
cana-513	27	10	or	or	CCONJ
cana-513	27	11	camp	camp	NOUN
cana-513	27	12	also	also	ADV
cana-513	27	13	spreads	spread	VERB
cana-513	27	14	awareness	awareness	NOUN
cana-513	27	15	and	and	CCONJ
cana-513	27	16	consequently	consequently	ADV
cana-513	27	17	,	,	PUNCT
cana-513	27	18	people	people	NOUN
cana-513	27	19	change	change	VERB
cana-513	27	20	their	their	PRON
cana-513	27	21	behaviors	behavior	NOUN
cana-513	27	22	.	.	PUNCT
cana-513	28	1	such	such	ADJ
cana-513	28	2	reactions	reaction	NOUN
cana-513	28	3	can	can	AUX
cana-513	28	4	incorporate	incorporate	VERB
cana-513	28	5	themselves	themselves	PRON
cana-513	28	6	in	in	ADP
cana-513	28	7	reducing	reduce	VERB
cana-513	28	8	susceptibility	susceptibility	NOUN
cana-513	28	9	as	as	SCONJ
cana-513	28	10	people	people	NOUN
cana-513	28	11	try	try	VERB
cana-513	28	12	to	to	PART
cana-513	28	13	prevent	prevent	VERB
cana-513	28	14	themselves	themselves	PRON
cana-513	28	15	from	from	ADP
cana-513	28	16	catching	catch	VERB
cana-513	28	17	the	the	DET
cana-513	28	18	disease	disease	NOUN
cana-513	28	19	.	.	PUNCT
cana-513	29	1	awareness	awareness	NOUN
cana-513	29	2	can	can	AUX
cana-513	29	3	play	play	VERB
cana-513	29	4	a	a	DET
cana-513	29	5	positive	positive	ADJ
cana-513	29	6	role	role	NOUN
cana-513	29	7	re	re	VERB
cana-513	29	8	-	-	VERB
cana-513	29	9	sulting	sulte	VERB
cana-513	29	10	in	in	ADP
cana-513	29	11	the	the	DET
cana-513	29	12	containment	containment	NOUN
cana-513	29	13	or	or	CCONJ
cana-513	29	14	eradication	eradication	NOUN
cana-513	29	15	of	of	ADP
cana-513	29	16	a	a	DET
cana-513	29	17	disease	disease	NOUN
cana-513	29	18	[	[	X
cana-513	29	19	1	1	NUM
cana-513	29	20	,	,	PUNCT
cana-513	29	21	2	2	NUM
cana-513	29	22	]	]	PUNCT
cana-513	29	23	.	.	PUNCT
cana-513	30	1	mathematical	mathematical	ADJ
cana-513	30	2	modeling	modeling	NOUN
cana-513	30	3	is	be	AUX
cana-513	30	4	a	a	DET
cana-513	30	5	tool	tool	NOUN
cana-513	30	6	used	use	VERB
cana-513	30	7	to	to	PART
cana-513	30	8	study	study	VERB
cana-513	30	9	the	the	DET
cana-513	30	10	situation	situation	NOUN
cana-513	30	11	of	of	ADP
cana-513	30	12	disease	disease	NOUN
cana-513	30	13	quantitatively	quantitatively	ADV
cana-513	30	14	.	.	PUNCT
cana-513	31	1	it	it	PRON
cana-513	31	2	plays	play	VERB
cana-513	31	3	an	an	DET
cana-513	31	4	important	important	ADJ
cana-513	31	5	role	role	NOUN
cana-513	31	6	in	in	ADP
cana-513	31	7	designing	design	VERB
cana-513	31	8	appropriate	appropriate	ADJ
cana-513	31	9	policies	policy	NOUN
cana-513	31	10	for	for	ADP
cana-513	31	11	their	their	PRON
cana-513	31	12	(	(	PUNCT
cana-513	31	13	communicable	communicable	NOUN
cana-513	31	14	diseases	disease	NOUN
cana-513	31	15	)	)	PUNCT
cana-513	31	16	prevention	prevention	NOUN
cana-513	31	17	and	and	CCONJ
cana-513	31	18	prediction	prediction	NOUN
cana-513	31	19	.	.	PUNCT
cana-513	32	1	it	it	PRON
cana-513	32	2	has	have	VERB
cana-513	32	3	a	a	DET
cana-513	32	4	long	long	ADJ
cana-513	32	5	history	history	NOUN
cana-513	32	6	in	in	ADP
cana-513	32	7	med	med	ADJ
cana-513	32	8	-	-	PUNCT
cana-513	32	9	ical	ical	ADJ
cana-513	32	10	science	science	NOUN
cana-513	32	11	which	which	PRON
cana-513	32	12	has	have	AUX
cana-513	32	13	been	be	AUX
cana-513	32	14	using	use	VERB
cana-513	32	15	such	such	ADJ
cana-513	32	16	modeling	modeling	NOUN
cana-513	32	17	techniques	technique	NOUN
cana-513	32	18	to	to	PART
cana-513	32	19	analyze	analyze	VERB
cana-513	32	20	the	the	DET
cana-513	32	21	spread	spread	NOUN
cana-513	32	22	and	and	CCONJ
cana-513	32	23	eradication	eradication	NOUN
cana-513	32	24	of	of	ADP
cana-513	32	25	a	a	DET
cana-513	32	26	particular	particular	ADJ
cana-513	32	27	communicable	communicable	NOUN
cana-513	32	28	disease	disease	NOUN
cana-513	32	29	.	.	PUNCT
cana-513	33	1	however	however	ADV
cana-513	33	2	,	,	PUNCT
cana-513	33	3	modeling	modeling	NOUN
cana-513	33	4	in	in	ADP
cana-513	33	5	the	the	DET
cana-513	33	6	field	field	NOUN
cana-513	33	7	of	of	ADP
cana-513	33	8	epidemiology	epidemiology	NOUN
cana-513	33	9	was	be	AUX
cana-513	33	10	prop	prop	NOUN
cana-513	33	11	-	-	PUNCT
cana-513	33	12	erly	erly	ADV
cana-513	33	13	extended	extend	VERB
cana-513	33	14	,	,	PUNCT
cana-513	33	15	improved	improve	VERB
cana-513	33	16	and	and	CCONJ
cana-513	33	17	developed	develop	VERB
cana-513	33	18	at	at	ADP
cana-513	33	19	the	the	DET
cana-513	33	20	beginning	beginning	NOUN
cana-513	33	21	of	of	ADP
cana-513	33	22	the	the	DET
cana-513	33	23	twentieth	twentieth	ADJ
cana-513	33	24	century	century	NOUN
cana-513	33	25	when	when	SCONJ
cana-513	33	26	william	william	PROPN
cana-513	33	27	hamer	hamer	PROPN
cana-513	33	28	and	and	CCONJ
cana-513	33	29	ronald	ronald	PROPN
cana-513	33	30	ross	ross	PROPN
cana-513	33	31	applied	apply	VERB
cana-513	33	32	the	the	DET
cana-513	33	33	”	"	PUNCT
cana-513	33	34	law	law	NOUN
cana-513	33	35	of	of	ADP
cana-513	33	36	mass	mass	ADJ
cana-513	33	37	action	action	NOUN
cana-513	33	38	”	"	PUNCT
cana-513	33	39	to	to	PART
cana-513	33	40	explain	explain	VERB
cana-513	33	41	epidemic	epidemic	ADJ
cana-513	33	42	behavior	behavior	NOUN
cana-513	33	43	.	.	PUNCT
cana-513	34	1	modern	modern	ADJ
cana-513	34	2	epidemiology	epidemiology	NOUN
cana-513	34	3	has	have	VERB
cana-513	34	4	its	its	PRON
cana-513	34	5	theoretical	theoretical	ADJ
cana-513	34	6	approach	approach	NOUN
cana-513	34	7	to	to	ADP
cana-513	34	8	the	the	DET
cana-513	34	9	transmission	transmission	NOUN
cana-513	34	10	dynamics	dynamic	NOUN
cana-513	34	11	of	of	ADP
cana-513	34	12	a	a	DET
cana-513	34	13	disease	disease	NOUN
cana-513	34	14	that	that	SCONJ
cana-513	34	15	a	a	DET
cana-513	34	16	disease	disease	NOUN
cana-513	34	17	will	will	AUX
cana-513	34	18	not	not	PART
cana-513	34	19	appear	appear	VERB
cana-513	34	20	in	in	ADP
cana-513	34	21	society	society	NOUN
cana-513	34	22	if	if	SCONJ
cana-513	34	23	certain	certain	ADJ
cana-513	34	24	situations	situation	NOUN
cana-513	34	25	or	or	CCONJ
cana-513	34	26	conditions	condition	NOUN
cana-513	34	27	are	be	AUX
cana-513	34	28	met	meet	VERB
cana-513	34	29	for	for	ADP
cana-513	34	30	its	its	PRON
cana-513	34	31	prevention	prevention	NOUN
cana-513	34	32	[	[	X
cana-513	34	33	3	3	NUM
cana-513	34	34	]	]	PUNCT
cana-513	34	35	.	.	PUNCT
cana-513	35	1	zewdie	zewdie	PROPN
cana-513	35	2	et	et	PROPN
cana-513	35	3	al	al	PROPN
cana-513	35	4	.	.	PUNCT
cana-513	36	1	[	[	X
cana-513	36	2	4	4	NUM
cana-513	36	3	]	]	PUNCT
cana-513	36	4	formulated	formulated	ADJ
cana-513	36	5	and	and	CCONJ
cana-513	36	6	analyzed	analyze	VERB
cana-513	36	7	a	a	DET
cana-513	36	8	sweiqr	sweiqr	PROPN
cana-513	36	9	mathematical	mathematical	ADJ
cana-513	36	10	model	model	NOUN
cana-513	36	11	,	,	PUNCT
cana-513	36	12	where	where	SCONJ
cana-513	36	13	w	w	NOUN
cana-513	36	14	represent	represent	VERB
cana-513	36	15	aware	aware	ADJ
cana-513	36	16	mass	mass	NOUN
cana-513	36	17	,	,	PUNCT
cana-513	36	18	in	in	ADP
cana-513	36	19	transport	transport	NOUN
cana-513	36	20	-	-	PUNCT
cana-513	36	21	related	relate	VERB
cana-513	36	22	infection	infection	NOUN
cana-513	36	23	with	with	ADP
cana-513	36	24	entry	entry	NOUN
cana-513	36	25	-	-	PUNCT
cana-513	36	26	departure	departure	NOUN
cana-513	36	27	screening	screening	NOUN
cana-513	36	28	.	.	PUNCT
cana-513	37	1	the	the	DET
cana-513	37	2	analytic	analytic	ADJ
cana-513	37	3	computacommunications	computacommunication	NOUN
cana-513	37	4	on	on	ADP
cana-513	37	5	applied	apply	VERB
cana-513	37	6	nonlinear	nonlinear	ADJ
cana-513	37	7	analysis	analysis	NOUN
cana-513	37	8	issn	issn	NOUN
cana-513	37	9	:	:	PUNCT
cana-513	37	10	1074	1074	NUM
cana-513	37	11	-	-	PUNCT
cana-513	37	12	133x	133x	NUM
cana-513	37	13	vol	vol	NOUN
cana-513	37	14	31	31	NUM
cana-513	37	15	no	no	NOUN
cana-513	37	16	.	.	NOUN
cana-513	37	17	2	2	NUM
cana-513	37	18	(	(	PUNCT
cana-513	37	19	2024	2024	NUM
cana-513	37	20	)	)	PUNCT
cana-513	37	21	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	37	22	56	56	NUM
cana-513	37	23	tions	tion	NOUN
cana-513	37	24	showed	show	VERB
cana-513	37	25	that	that	SCONJ
cana-513	37	26	the	the	DET
cana-513	37	27	disease	disease	NOUN
cana-513	37	28	-	-	PUNCT
cana-513	37	29	free	free	ADJ
cana-513	37	30	equilibrium	equilibrium	NOUN
cana-513	37	31	in	in	ADP
cana-513	37	32	the	the	DET
cana-513	37	33	absence	absence	NOUN
cana-513	37	34	of	of	ADP
cana-513	37	35	travel	travel	NOUN
cana-513	37	36	was	be	AUX
cana-513	37	37	globally	globally	ADV
cana-513	37	38	asymptotically	asymptotically	ADV
cana-513	37	39	stable	stable	ADJ
cana-513	37	40	when	when	SCONJ
cana-513	37	41	reproduction	reproduction	NOUN
cana-513	37	42	numbers	number	NOUN
cana-513	37	43	is	be	AUX
cana-513	37	44	less	less	ADJ
cana-513	37	45	than	than	ADP
cana-513	37	46	one	one	NUM
cana-513	37	47	and	and	CCONJ
cana-513	37	48	unstable	unstable	ADJ
cana-513	37	49	otherwise	otherwise	ADV
cana-513	37	50	.	.	PUNCT
cana-513	38	1	the	the	DET
cana-513	38	2	numerical	numerical	ADJ
cana-513	38	3	simulations	simulation	NOUN
cana-513	38	4	showed	show	VERB
cana-513	38	5	that	that	SCONJ
cana-513	38	6	disseminating	disseminate	VERB
cana-513	38	7	awareness	awareness	NOUN
cana-513	38	8	through	through	ADP
cana-513	38	9	the	the	DET
cana-513	38	10	population	population	NOUN
cana-513	38	11	reduces	reduce	VERB
cana-513	38	12	the	the	DET
cana-513	38	13	spread	spread	NOUN
cana-513	38	14	of	of	ADP
cana-513	38	15	disease	disease	NOUN
cana-513	38	16	.	.	PUNCT
cana-513	39	1	a	a	DET
cana-513	39	2	model	model	NOUN
cana-513	39	3	with	with	ADP
cana-513	39	4	awareness	awareness	NOUN
cana-513	39	5	such	such	ADJ
cana-513	39	6	as	as	ADP
cana-513	39	7	closing	closing	NOUN
cana-513	39	8	schools	school	NOUN
cana-513	39	9	,	,	PUNCT
cana-513	39	10	using	use	VERB
cana-513	39	11	face	face	NOUN
cana-513	39	12	masks	mask	NOUN
cana-513	39	13	,	,	PUNCT
cana-513	39	14	and	and	CCONJ
cana-513	39	15	keeping	keep	VERB
cana-513	39	16	infected	infected	ADJ
cana-513	39	17	persons	person	NOUN
cana-513	39	18	away	away	ADV
cana-513	39	19	from	from	ADP
cana-513	39	20	those	those	PRON
cana-513	39	21	susceptible	susceptible	ADJ
cana-513	39	22	(	(	PUNCT
cana-513	39	23	known	know	VERB
cana-513	39	24	as	as	ADP
cana-513	39	25	social	social	ADJ
cana-513	39	26	distancing	distancing	NOUN
cana-513	39	27	)	)	PUNCT
cana-513	39	28	also	also	ADV
cana-513	39	29	minimized	minimize	VERB
cana-513	39	30	the	the	DET
cana-513	39	31	effects	effect	NOUN
cana-513	39	32	of	of	ADP
cana-513	39	33	pandemics	pandemic	NOUN
cana-513	39	34	like	like	ADP
cana-513	39	35	influenza	influenza	NOUN
cana-513	39	36	[	[	X
cana-513	39	37	5	5	NUM
cana-513	39	38	]	]	PUNCT
cana-513	39	39	.	.	PUNCT
cana-513	40	1	rwezaura	rwezaura	PROPN
cana-513	40	2	et	et	PROPN
cana-513	40	3	a	a	DET
cana-513	40	4	l.	l.	PROPN
cana-513	41	1	[	[	X
cana-513	41	2	6	6	NUM
cana-513	41	3	]	]	PUNCT
cana-513	41	4	constructed	construct	VERB
cana-513	41	5	a	a	DET
cana-513	41	6	deterministic	deterministic	ADJ
cana-513	41	7	mathematical	mathematical	ADJ
cana-513	41	8	model	model	NOUN
cana-513	41	9	with	with	ADP
cana-513	41	10	vaccination	vaccination	NOUN
cana-513	41	11	and	and	CCONJ
cana-513	41	12	treatment	treatment	NOUN
cana-513	41	13	to	to	PART
cana-513	41	14	analyze	analyze	VERB
cana-513	41	15	their	their	PRON
cana-513	41	16	joint	joint	ADJ
cana-513	41	17	effect	effect	NOUN
cana-513	41	18	in	in	ADP
cana-513	41	19	curtailing	curtail	VERB
cana-513	41	20	an	an	DET
cana-513	41	21	influenza	influenza	NOUN
cana-513	41	22	e	e	NOUN
cana-513	41	23	pidemic	pidemic	NOUN
cana-513	41	24	.	.	PUNCT
cana-513	42	1	their	their	PRON
cana-513	42	2	results	result	NOUN
cana-513	42	3	were	be	AUX
cana-513	42	4	interpreted	interpret	VERB
cana-513	42	5	in	in	ADP
cana-513	42	6	terms	term	NOUN
cana-513	42	7	of	of	ADP
cana-513	42	8	the	the	DET
cana-513	42	9	vaccination	vaccination	NOUN
cana-513	42	10	,	,	PUNCT
cana-513	42	11	treatment	treatment	NOUN
cana-513	42	12	,	,	PUNCT
cana-513	42	13	vaccination	vaccination	NOUN
cana-513	42	14	and	and	CCONJ
cana-513	42	15	treatment	treatment	NOUN
cana-513	42	16	-	-	PUNCT
cana-513	42	17	induced	induce	VERB
cana-513	42	18	reproduction	reproduction	NOUN
cana-513	42	19	numbers	number	NOUN
cana-513	42	20	.	.	PUNCT
cana-513	43	1	they	they	PRON
cana-513	43	2	found	find	VERB
cana-513	43	3	that	that	SCONJ
cana-513	43	4	vaccinating	vaccinating	NOUN
cana-513	43	5	and	and	CCONJ
cana-513	43	6	treating	treat	VERB
cana-513	43	7	individuals	individual	NOUN
cana-513	43	8	concurrently	concurrently	ADV
cana-513	43	9	is	be	AUX
cana-513	43	10	more	more	ADV
cana-513	43	11	effective	effective	ADJ
cana-513	43	12	in	in	ADP
cana-513	43	13	slowing	slow	VERB
cana-513	43	14	down	down	ADP
cana-513	43	15	the	the	DET
cana-513	43	16	epidemic	epidemic	NOUN
cana-513	43	17	than	than	ADP
cana-513	43	18	concentrating	concentrate	VERB
cana-513	43	19	on	on	ADP
cana-513	43	20	a	a	DET
cana-513	43	21	cohort	cohort	NOUN
cana-513	43	22	vaccination	vaccination	NOUN
cana-513	43	23	campaign	campaign	NOUN
cana-513	43	24	or	or	CCONJ
cana-513	43	25	treatment	treatment	NOUN
cana-513	43	26	campaign	campaign	NOUN
cana-513	43	27	only	only	ADV
cana-513	43	28	.	.	PUNCT
cana-513	44	1	raimundo	raimundo	NOUN
cana-513	44	2	et	et	PROPN
cana-513	44	3	al	al	PROPN
cana-513	44	4	.	.	PUNCT
cana-513	45	1	[	[	X
cana-513	45	2	7	7	X
cana-513	45	3	]	]	PUNCT
cana-513	45	4	did	do	VERB
cana-513	45	5	the	the	DET
cana-513	45	6	same	same	ADJ
cana-513	45	7	task	task	NOUN
cana-513	45	8	developing	develop	VERB
cana-513	45	9	a	a	DET
cana-513	45	10	mathematical	mathematical	ADJ
cana-513	45	11	model	model	NOUN
cana-513	45	12	to	to	PART
cana-513	45	13	describe	describe	VERB
cana-513	45	14	the	the	DET
cana-513	45	15	dynamics	dynamic	NOUN
cana-513	45	16	of	of	ADP
cana-513	45	17	reinfection	reinfection	NOUN
cana-513	45	18	.	.	PUNCT
cana-513	46	1	they	they	PRON
cana-513	46	2	assumed	assume	VERB
cana-513	46	3	that	that	SCONJ
cana-513	46	4	immune	immune	ADJ
cana-513	46	5	protection	protection	NOUN
cana-513	46	6	wanes	wane	VERB
cana-513	46	7	over	over	ADP
cana-513	46	8	time	time	NOUN
cana-513	46	9	and	and	CCONJ
cana-513	46	10	reinfection	reinfection	NOUN
cana-513	46	11	is	be	AUX
cana-513	46	12	possible	possible	ADJ
cana-513	46	13	in	in	ADP
cana-513	46	14	the	the	DET
cana-513	46	15	dynamics	dynamic	NOUN
cana-513	46	16	of	of	ADP
cana-513	46	17	communicable	communicable	NOUN
cana-513	46	18	disease	disease	NOUN
cana-513	46	19	.	.	PUNCT
cana-513	47	1	it	it	PRON
cana-513	47	2	is	be	AUX
cana-513	47	3	found	find	VERB
cana-513	47	4	that	that	SCONJ
cana-513	47	5	eradication	eradication	NOUN
cana-513	47	6	depends	depend	VERB
cana-513	47	7	on	on	ADP
cana-513	47	8	vaccination	vaccination	NOUN
cana-513	47	9	coverage	coverage	NOUN
cana-513	47	10	as	as	ADV
cana-513	47	11	well	well	ADV
cana-513	47	12	as	as	ADP
cana-513	47	13	on	on	ADP
cana-513	47	14	vaccine	vaccine	NOUN
cana-513	47	15	efficacy	efficacy	NOUN
cana-513	47	16	.	.	PUNCT
cana-513	48	1	singh	singh	PROPN
cana-513	48	2	e	e	PROPN
cana-513	48	3	t	t	PROPN
cana-513	48	4	a	a	DET
cana-513	48	5	l.	l.	PROPN
cana-513	49	1	[	[	X
cana-513	49	2	8	8	NUM
cana-513	49	3	]	]	PUNCT
cana-513	49	4	proposed	propose	VERB
cana-513	49	5	and	and	CCONJ
cana-513	49	6	analyzed	analyze	VERB
cana-513	49	7	a	a	DET
cana-513	49	8	sirs	sir	NOUN
cana-513	49	9	epidemic	epidemic	NOUN
cana-513	49	10	model	model	NOUN
cana-513	49	11	incorporating	incorporate	VERB
cana-513	49	12	disease	disease	NOUN
cana-513	49	13	-	-	PUNCT
cana-513	49	14	induced	induce	VERB
cana-513	49	15	immunity	immunity	NOUN
cana-513	49	16	and	and	CCONJ
cana-513	49	17	media	medium	NOUN
cana-513	49	18	awareness	awareness	NOUN
cana-513	49	19	to	to	PART
cana-513	49	20	control	control	VERB
cana-513	49	21	epidemics	epidemic	NOUN
cana-513	49	22	.	.	PUNCT
cana-513	50	1	it	it	PRON
cana-513	50	2	is	be	AUX
cana-513	50	3	found	find	VERB
cana-513	50	4	that	that	SCONJ
cana-513	50	5	disease	disease	NOUN
cana-513	50	6	transmission	transmission	NOUN
cana-513	50	7	is	be	AUX
cana-513	50	8	reduced	reduce	VERB
cana-513	50	9	by	by	ADP
cana-513	50	10	media	medium	NOUN
cana-513	50	11	awareness	awareness	NOUN
cana-513	50	12	.	.	PUNCT
cana-513	51	1	today	today	NOUN
cana-513	51	2	,	,	PUNCT
cana-513	51	3	mathematical	mathematical	ADJ
cana-513	51	4	modeling	modeling	NOUN
cana-513	51	5	is	be	AUX
cana-513	51	6	used	use	VERB
cana-513	51	7	to	to	PART
cana-513	51	8	guide	guide	VERB
cana-513	51	9	public	public	ADJ
cana-513	51	10	health	health	NOUN
cana-513	51	11	policies	policy	NOUN
cana-513	51	12	for	for	ADP
cana-513	51	13	public	public	ADJ
cana-513	51	14	health	health	NOUN
cana-513	51	15	researchers	researcher	NOUN
cana-513	51	16	,	,	PUNCT
cana-513	51	17	policymakers	policymaker	NOUN
cana-513	51	18	,	,	PUNCT
cana-513	51	19	scientists	scientist	NOUN
cana-513	51	20	,	,	PUNCT
cana-513	51	21	medical	medical	ADJ
cana-513	51	22	statisticians	statistician	NOUN
cana-513	51	23	,	,	PUNCT
cana-513	51	24	health	health	NOUN
cana-513	51	25	economists	economist	NOUN
cana-513	51	26	,	,	PUNCT
cana-513	51	27	applied	apply	VERB
cana-513	51	28	mathematicians	mathematician	NOUN
cana-513	51	29	,	,	PUNCT
cana-513	51	30	and	and	CCONJ
cana-513	51	31	those	those	PRON
cana-513	51	32	interested	interested	ADJ
cana-513	51	33	in	in	ADP
cana-513	51	34	society	society	NOUN
cana-513	51	35	’s	’s	PART
cana-513	51	36	health	health	NOUN
cana-513	51	37	improvement	improvement	NOUN
cana-513	51	38	movements	movement	NOUN
cana-513	51	39	.	.	PUNCT
cana-513	52	1	it	it	PRON
cana-513	52	2	will	will	AUX
cana-513	52	3	give	give	VERB
cana-513	52	4	an	an	DET
cana-513	52	5	idea	idea	NOUN
cana-513	52	6	of	of	ADP
cana-513	52	7	the	the	DET
cana-513	52	8	fact	fact	NOUN
cana-513	52	9	how	how	SCONJ
cana-513	52	10	many	many	ADJ
cana-513	52	11	people	people	NOUN
cana-513	52	12	will	will	AUX
cana-513	52	13	be	be	AUX
cana-513	52	14	suffering	suffer	VERB
cana-513	52	15	in	in	ADP
cana-513	52	16	future	future	NOUN
cana-513	52	17	so	so	SCONJ
cana-513	52	18	that	that	SCONJ
cana-513	52	19	proper	proper	ADJ
cana-513	52	20	medication	medication	NOUN
cana-513	52	21	,	,	PUNCT
cana-513	52	22	preventive	preventive	ADJ
cana-513	52	23	measures	measure	NOUN
cana-513	52	24	and	and	CCONJ
cana-513	52	25	facilities	facility	NOUN
cana-513	52	26	can	can	AUX
cana-513	52	27	be	be	AUX
cana-513	52	28	provided	provide	VERB
cana-513	52	29	to	to	ADP
cana-513	52	30	them	they	PRON
cana-513	52	31	and	and	CCONJ
cana-513	52	32	research	research	NOUN
cana-513	52	33	can	can	AUX
cana-513	52	34	be	be	AUX
cana-513	52	35	done	do	VERB
cana-513	52	36	in	in	ADP
cana-513	52	37	this	this	DET
cana-513	52	38	area	area	NOUN
cana-513	52	39	to	to	PART
cana-513	52	40	control	control	VERB
cana-513	52	41	the	the	DET
cana-513	52	42	continuously	continuously	ADV
cana-513	52	43	increasing	increase	VERB
cana-513	52	44	infected	infected	ADJ
cana-513	52	45	population	population	NOUN
cana-513	53	1	[	[	X
cana-513	53	2	9	9	NUM
cana-513	53	3	,	,	PUNCT
cana-513	53	4	10	10	NUM
cana-513	53	5	]	]	PUNCT
cana-513	53	6	.	.	PUNCT
cana-513	54	1	this	this	DET
cana-513	54	2	model	model	NOUN
cana-513	54	3	analyzes	analyze	VERB
cana-513	54	4	an	an	DET
cana-513	54	5	awareness	awareness	NOUN
cana-513	54	6	effect	effect	NOUN
cana-513	54	7	in	in	ADP
cana-513	54	8	disease	disease	NOUN
cana-513	54	9	dynamics	dynamic	NOUN
cana-513	54	10	and	and	CCONJ
cana-513	54	11	it	it	PRON
cana-513	54	12	is	be	AUX
cana-513	54	13	based	base	VERB
cana-513	54	14	on	on	ADP
cana-513	54	15	authentic	authentic	ADJ
cana-513	54	16	data	datum	NOUN
cana-513	54	17	,	,	PUNCT
cana-513	54	18	which	which	PRON
cana-513	54	19	were	be	AUX
cana-513	54	20	collected	collect	VERB
cana-513	54	21	from	from	ADP
cana-513	54	22	different	different	ADJ
cana-513	54	23	yoga	yoga	NOUN
cana-513	54	24	20	20	NUM
cana-513	54	25	centres	centre	NOUN
cana-513	54	26	of	of	ADP
cana-513	54	27	sudurpashchim	sudurpashchim	PROPN
cana-513	54	28	province	province	NOUN
cana-513	54	29	of	of	ADP
cana-513	54	30	nepal	nepal	NOUN
cana-513	54	31	during	during	ADP
cana-513	54	32	the	the	DET
cana-513	54	33	period	period	NOUN
cana-513	54	34	of	of	ADP
cana-513	54	35	covid-19	covid-19	PROPN
cana-513	54	36	(	(	PUNCT
cana-513	54	37	from	from	ADP
cana-513	54	38	february	february	PROPN
cana-513	54	39	2020	2020	NUM
cana-513	54	40	to	to	PART
cana-513	54	41	may	may	PROPN
cana-513	54	42	2021	2021	NUM
cana-513	54	43	)	)	PUNCT
cana-513	54	44	.	.	PUNCT
cana-513	55	1	this	this	DET
cana-513	55	2	model	model	NOUN
cana-513	55	3	considers	consider	VERB
cana-513	55	4	the	the	DET
cana-513	55	5	contributions	contribution	NOUN
cana-513	55	6	to	to	ADP
cana-513	55	7	the	the	DET
cana-513	55	8	overall	overall	ADJ
cana-513	55	9	awareness	awareness	NOUN
cana-513	55	10	of	of	ADP
cana-513	55	11	yoga	yoga	NOUN
cana-513	55	12	sadhaka	sadhaka	PROPN
cana-513	55	13	individuals	individual	NOUN
cana-513	55	14	,	,	PUNCT
cana-513	55	15	yoga	yoga	NOUN
cana-513	55	16	awareness	awareness	NOUN
cana-513	55	17	information	information	NOUN
cana-513	55	18	campaign	campaign	NOUN
cana-513	55	19	,	,	PUNCT
cana-513	55	20	direct	direct	ADJ
cana-513	55	21	contacts	contact	NOUN
cana-513	55	22	between	between	ADP
cana-513	55	23	unaware	unaware	ADJ
cana-513	55	24	and	and	CCONJ
cana-513	55	25	aware	aware	ADJ
cana-513	55	26	individuals	individual	NOUN
cana-513	55	27	and	and	CCONJ
cana-513	55	28	reported	report	VERB
cana-513	55	29	cases	case	NOUN
cana-513	55	30	of	of	ADP
cana-513	55	31	infection	infection	NOUN
cana-513	55	32	.	.	PUNCT
cana-513	56	1	yoga	yoga	NOUN
cana-513	56	2	pranayama	pranayama	NOUN
cana-513	56	3	develops	develop	VERB
cana-513	56	4	awareness	awareness	NOUN
cana-513	56	5	to	to	PART
cana-513	56	6	unaware	unaware	ADJ
cana-513	56	7	individuals	individual	NOUN
cana-513	56	8	during	during	ADP
cana-513	56	9	communications	communication	NOUN
cana-513	56	10	on	on	ADP
cana-513	56	11	applied	apply	VERB
cana-513	56	12	nonlinear	nonlinear	ADJ
cana-513	56	13	analysis	analysis	NOUN
cana-513	56	14	issn	issn	NOUN
cana-513	56	15	:	:	PUNCT
cana-513	56	16	1074	1074	NUM
cana-513	56	17	-	-	PUNCT
cana-513	56	18	133x	133x	NUM
cana-513	56	19	vol	vol	NOUN
cana-513	56	20	31	31	NUM
cana-513	56	21	no	no	NOUN
cana-513	56	22	.	.	NOUN
cana-513	56	23	2	2	NUM
cana-513	56	24	(	(	PUNCT
cana-513	56	25	2024	2024	NUM
cana-513	56	26	)	)	PUNCT
cana-513	56	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	56	28	57	57	NUM
cana-513	56	29	yoga	yoga	NOUN
cana-513	56	30	classes	class	NOUN
cana-513	56	31	.	.	PUNCT
cana-513	57	1	we	we	PRON
cana-513	57	2	have	have	AUX
cana-513	57	3	formulated	formulate	VERB
cana-513	57	4	the	the	DET
cana-513	57	5	sirs	sir	NOUN
cana-513	57	6	epidemic	epidemic	NOUN
cana-513	57	7	model	model	NOUN
cana-513	57	8	with	with	ADP
cana-513	57	9	yoga	yoga	NOUN
cana-513	57	10	awareness	awareness	NOUN
cana-513	57	11	which	which	PRON
cana-513	57	12	includes	include	VERB
cana-513	57	13	ahar	ahar	PROPN
cana-513	57	14	(	(	PUNCT
cana-513	57	15	food	food	NOUN
cana-513	57	16	)	)	PUNCT
cana-513	57	17	,	,	PUNCT
cana-513	57	18	vihar	vihar	PROPN
cana-513	57	19	(	(	PUNCT
cana-513	57	20	exercise	exercise	PROPN
cana-513	57	21	)	)	PUNCT
cana-513	57	22	,	,	PUNCT
cana-513	57	23	achar	achar	PROPN
cana-513	57	24	(	(	PUNCT
cana-513	57	25	good	good	ADJ
cana-513	57	26	conduct	conduct	NOUN
cana-513	57	27	)	)	PUNCT
cana-513	57	28	and	and	CCONJ
cana-513	57	29	vichar	vichar	NOUN
cana-513	57	30	(	(	PUNCT
cana-513	57	31	good	good	ADJ
cana-513	57	32	thought	thought	NOUN
cana-513	57	33	)	)	PUNCT
cana-513	57	34	(	(	PUNCT
cana-513	57	35	avav	avav	NOUN
cana-513	57	36	)	)	PUNCT
cana-513	57	37	as	as	ADP
cana-513	57	38	control	control	NOUN
cana-513	57	39	strategy	strategy	NOUN
cana-513	57	40	.	.	PUNCT
cana-513	58	1	in	in	ADP
cana-513	58	2	this	this	DET
cana-513	58	3	paper	paper	NOUN
cana-513	58	4	,	,	PUNCT
cana-513	58	5	we	we	PRON
cana-513	58	6	have	have	AUX
cana-513	58	7	utilized	utilize	VERB
cana-513	58	8	our	our	PRON
cana-513	58	9	eastern	eastern	ADJ
cana-513	58	10	philosophical	philosophical	ADJ
cana-513	58	11	knowledge	knowledge	NOUN
cana-513	58	12	to	to	PART
cana-513	58	13	control	control	VERB
cana-513	58	14	the	the	DET
cana-513	58	15	transmission	transmission	NOUN
cana-513	58	16	dynamics	dynamic	NOUN
cana-513	58	17	of	of	ADP
cana-513	58	18	disease	disease	NOUN
cana-513	58	19	and	and	CCONJ
cana-513	58	20	break	break	VERB
cana-513	58	21	the	the	DET
cana-513	58	22	chain	chain	NOUN
cana-513	58	23	between	between	ADP
cana-513	58	24	host	host	NOUN
cana-513	58	25	,	,	PUNCT
cana-513	58	26	environment	environment	NOUN
cana-513	58	27	,	,	PUNCT
cana-513	58	28	and	and	CCONJ
cana-513	58	29	agent	agent	NOUN
cana-513	58	30	.	.	PUNCT
cana-513	59	1	it	it	PRON
cana-513	59	2	contains	contain	VERB
cana-513	59	3	non	non	ADJ
cana-513	59	4	-	-	ADJ
cana-513	59	5	pharmaceutical	pharmaceutical	ADJ
cana-513	59	6	intervention	intervention	NOUN
cana-513	59	7	,	,	PUNCT
cana-513	59	8	a	a	DET
cana-513	59	9	variety	variety	NOUN
cana-513	59	10	of	of	ADP
cana-513	59	11	systems	system	NOUN
cana-513	59	12	of	of	ADP
cana-513	59	13	spiritual	spiritual	ADJ
cana-513	59	14	beliefs	belief	NOUN
cana-513	59	15	and	and	CCONJ
cana-513	59	16	practices	practice	NOUN
cana-513	59	17	as	as	SCONJ
cana-513	59	18	used	use	VERB
cana-513	59	19	by	by	ADP
cana-513	59	20	ancient	ancient	ADJ
cana-513	59	21	seers	seer	NOUN
cana-513	59	22	to	to	PART
cana-513	59	23	explore	explore	VERB
cana-513	59	24	the	the	DET
cana-513	59	25	exterior	exterior	ADJ
cana-513	59	26	and	and	CCONJ
cana-513	59	27	interior	interior	ADJ
cana-513	59	28	world	world	NOUN
cana-513	59	29	and	and	CCONJ
cana-513	59	30	to	to	PART
cana-513	59	31	achieve	achieve	VERB
cana-513	59	32	wisdom	wisdom	NOUN
cana-513	59	33	and	and	CCONJ
cana-513	59	34	knowledge	knowledge	NOUN
cana-513	59	35	of	of	ADP
cana-513	59	36	great	great	ADJ
cana-513	59	37	teachers	teacher	NOUN
cana-513	59	38	,	,	PUNCT
cana-513	59	39	or	or	CCONJ
cana-513	59	40	gurus	gurus	NOUN
cana-513	59	41	.	.	PUNCT
cana-513	60	1	they	they	PRON
cana-513	60	2	did	do	AUX
cana-513	60	3	not	not	PART
cana-513	60	4	equate	equate	VERB
cana-513	60	5	yoga	yoga	NOUN
cana-513	60	6	with	with	ADP
cana-513	60	7	religion	religion	NOUN
cana-513	60	8	but	but	CCONJ
cana-513	60	9	considered	consider	VERB
cana-513	60	10	yoga	yoga	NOUN
cana-513	60	11	as	as	ADP
cana-513	60	12	an	an	DET
cana-513	60	13	art	art	NOUN
cana-513	60	14	of	of	ADP
cana-513	60	15	living	live	VERB
cana-513	60	16	at	at	ADP
cana-513	60	17	the	the	DET
cana-513	60	18	highest	high	ADJ
cana-513	60	19	level	level	NOUN
cana-513	60	20	of	of	ADP
cana-513	60	21	life	life	NOUN
cana-513	60	22	–	–	PUNCT
cana-513	60	23	reality	reality	NOUN
cana-513	60	24	,	,	PUNCT
cana-513	60	25	and	and	CCONJ
cana-513	60	26	personal	personal	ADJ
cana-513	60	27	verification	verification	NOUN
cana-513	60	28	rather	rather	ADV
cana-513	60	29	than	than	ADP
cana-513	60	30	on	on	ADP
cana-513	60	31	belief	belief	NOUN
cana-513	60	32	.	.	PUNCT
cana-513	61	1	yoga	yoga	NOUN
cana-513	61	2	comes	come	VERB
cana-513	61	3	from	from	ADP
cana-513	61	4	an	an	DET
cana-513	61	5	oral	oral	ADJ
cana-513	61	6	tradition	tradition	NOUN
cana-513	61	7	in	in	SCONJ
cana-513	61	8	which	which	DET
cana-513	61	9	teaching	teaching	NOUN
cana-513	61	10	was	be	AUX
cana-513	61	11	transmitted	transmit	VERB
cana-513	61	12	from	from	ADP
cana-513	61	13	a	a	DET
cana-513	61	14	teacher	teacher	NOUN
cana-513	61	15	to	to	ADP
cana-513	61	16	a	a	DET
cana-513	61	17	student	student	NOUN
cana-513	61	18	.	.	PUNCT
cana-513	62	1	the	the	DET
cana-513	62	2	sage	sage	NOUN
cana-513	62	3	patanjali	patanjali	PROPN
cana-513	62	4	organized	organize	VERB
cana-513	62	5	this	this	DET
cana-513	62	6	oral	oral	ADJ
cana-513	62	7	tradition	tradition	NOUN
cana-513	62	8	in	in	ADP
cana-513	62	9	his	his	PRON
cana-513	62	10	classic	classic	ADJ
cana-513	62	11	work	work	NOUN
cana-513	62	12	the	the	DET
cana-513	62	13	yoga	yoga	NOUN
cana-513	62	14	sutras	sutra	NOUN
cana-513	62	15	,	,	PUNCT
cana-513	62	16	a	a	DET
cana-513	62	17	2000	2000	NUM
cana-513	62	18	-	-	PUNCT
cana-513	62	19	year	year	NOUN
cana-513	62	20	-	-	PUNCT
cana-513	62	21	old	old	ADJ
cana-513	62	22	treatise	treatise	NOUN
cana-513	62	23	on	on	ADP
cana-513	62	24	yogic	yogic	NOUN
cana-513	62	25	philosophy	philosophy	NOUN
cana-513	62	26	.	.	PUNCT
cana-513	63	1	he	he	PRON
cana-513	63	2	defined	define	VERB
cana-513	63	3	yoga	yoga	NOUN
cana-513	63	4	as	as	ADP
cana-513	63	5	a	a	DET
cana-513	63	6	way	way	NOUN
cana-513	63	7	to	to	ADP
cana-513	63	8	inner	inner	ADJ
cana-513	63	9	joy	joy	NOUN
cana-513	63	10	and	and	CCONJ
cana-513	63	11	outer	outer	ADJ
cana-513	63	12	harmony	harmony	NOUN
cana-513	63	13	and	and	CCONJ
cana-513	63	14	it	it	PRON
cana-513	63	15	restrains	restrain	VERB
cana-513	63	16	the	the	DET
cana-513	63	17	thought	thought	NOUN
cana-513	63	18	process	process	NOUN
cana-513	63	19	making	make	VERB
cana-513	63	20	the	the	DET
cana-513	63	21	mind	mind	NOUN
cana-513	63	22	calm	calm	NOUN
cana-513	64	1	[	[	X
cana-513	64	2	11–14	11–14	NUM
cana-513	64	3	]	]	PUNCT
cana-513	64	4	.	.	PUNCT
cana-513	65	1	yoga	yoga	NOUN
cana-513	65	2	awareness	awareness	NOUN
cana-513	65	3	is	be	AUX
cana-513	65	4	a	a	DET
cana-513	65	5	code	code	NOUN
cana-513	65	6	of	of	ADP
cana-513	65	7	conduct	conduct	NOUN
cana-513	65	8	of	of	ADP
cana-513	65	9	the	the	DET
cana-513	65	10	highest	high	ADJ
cana-513	65	11	human	human	ADJ
cana-513	65	12	virtues	virtue	NOUN
cana-513	65	13	like	like	ADP
cana-513	65	14	ahimsa	ahimsa	NOUN
cana-513	65	15	(	(	PUNCT
cana-513	65	16	noninjury	noninjury	PROPN
cana-513	65	17	)	)	PUNCT
cana-513	65	18	and	and	CCONJ
cana-513	65	19	satya	satya	ADJ
cana-513	65	20	(	(	PUNCT
cana-513	65	21	truth	truth	NOUN
cana-513	65	22	)	)	PUNCT
cana-513	65	23	,	,	PUNCT
cana-513	65	24	and	and	CCONJ
cana-513	65	25	the	the	DET
cana-513	65	26	promotion	promotion	NOUN
cana-513	65	27	of	of	ADP
cana-513	65	28	the	the	DET
cana-513	65	29	noblest	noble	ADJ
cana-513	65	30	feelings	feeling	NOUN
cana-513	65	31	like	like	ADP
cana-513	65	32	amity	amity	NOUN
cana-513	65	33	and	and	CCONJ
cana-513	65	34	compassion	compassion	NOUN
cana-513	65	35	[	[	X
cana-513	65	36	1	1	NUM
cana-513	65	37	]	]	PUNCT
cana-513	65	38	.	.	PUNCT
cana-513	66	1	today	today	NOUN
cana-513	66	2	it	it	PRON
cana-513	66	3	is	be	AUX
cana-513	66	4	also	also	ADV
cana-513	66	5	alive	alive	ADJ
cana-513	66	6	in	in	ADP
cana-513	66	7	western	western	ADJ
cana-513	66	8	society	society	NOUN
cana-513	66	9	,	,	PUNCT
cana-513	66	10	too	too	ADV
cana-513	67	1	[	[	X
cana-513	67	2	15	15	NUM
cana-513	67	3	]	]	PUNCT
cana-513	67	4	.	.	PUNCT
cana-513	68	1	pranayama	pranayama	NOUN
cana-513	68	2	,	,	PUNCT
cana-513	68	3	a	a	DET
cana-513	68	4	fourth	fourth	ADJ
cana-513	68	5	limb	limb	NOUN
cana-513	68	6	of	of	ADP
cana-513	68	7	yoga	yoga	NOUN
cana-513	68	8	,	,	PUNCT
cana-513	68	9	helps	help	VERB
cana-513	68	10	in	in	ADP
cana-513	68	11	our	our	PRON
cana-513	68	12	physical	physical	ADJ
cana-513	68	13	development	development	NOUN
cana-513	68	14	,	,	PUNCT
cana-513	68	15	body	body	NOUN
cana-513	68	16	metabolism	metabolism	NOUN
cana-513	68	17	and	and	CCONJ
cana-513	68	18	improvement	improvement	NOUN
cana-513	68	19	of	of	ADP
cana-513	68	20	physiological	physiological	ADJ
cana-513	68	21	functions	function	NOUN
cana-513	68	22	[	[	X
cana-513	68	23	14	14	NUM
cana-513	68	24	]	]	PUNCT
cana-513	68	25	.	.	PUNCT
cana-513	69	1	it	it	PRON
cana-513	69	2	makes	make	VERB
cana-513	69	3	us	we	PRON
cana-513	69	4	self	self	NOUN
cana-513	69	5	-	-	PUNCT
cana-513	69	6	aware	aware	ADJ
cana-513	69	7	and	and	CCONJ
cana-513	69	8	increases	increase	VERB
cana-513	69	9	our	our	PRON
cana-513	69	10	understanding	understanding	NOUN
cana-513	69	11	of	of	ADP
cana-513	69	12	our	our	PRON
cana-513	69	13	thoughts	thought	NOUN
cana-513	69	14	,	,	PUNCT
cana-513	69	15	feelings	feeling	NOUN
cana-513	69	16	,	,	PUNCT
cana-513	69	17	values	value	NOUN
cana-513	69	18	,	,	PUNCT
cana-513	69	19	beliefs	belief	NOUN
cana-513	69	20	,	,	PUNCT
cana-513	69	21	and	and	CCONJ
cana-513	69	22	actions	action	NOUN
cana-513	69	23	.	.	PUNCT
cana-513	70	1	it	it	PRON
cana-513	70	2	develops	develop	VERB
cana-513	70	3	self	self	NOUN
cana-513	70	4	-	-	PUNCT
cana-513	70	5	awareness	awareness	NOUN
cana-513	70	6	about	about	ADP
cana-513	70	7	avav	avav	NOUN
cana-513	70	8	which	which	PRON
cana-513	70	9	is	be	AUX
cana-513	70	10	termed	term	VERB
cana-513	70	11	as	as	ADP
cana-513	70	12	yoga	yoga	NOUN
cana-513	70	13	awareness	awareness	NOUN
cana-513	70	14	.	.	PUNCT
cana-513	71	1	2	2	NUM
cana-513	71	2	model	model	NOUN
cana-513	71	3	formulation	formulation	NOUN
cana-513	71	4	2.1	2.1	NUM
cana-513	71	5	assumptions	assumption	NOUN
cana-513	71	6	and	and	CCONJ
cana-513	71	7	model	model	NOUN
cana-513	71	8	framework	framework	NOUN
cana-513	71	9	we	we	PRON
cana-513	71	10	use	use	VERB
cana-513	71	11	standard	standard	ADJ
cana-513	71	12	sirs	sir	NOUN
cana-513	71	13	compartmental	compartmental	ADJ
cana-513	71	14	model	model	NOUN
cana-513	71	15	with	with	ADP
cana-513	71	16	different	different	ADJ
cana-513	71	17	epidemiological	epidemiological	ADJ
cana-513	71	18	status	status	NOUN
cana-513	71	19	:	:	PUNCT
cana-513	71	20	susceptible	susceptible	ADJ
cana-513	71	21	(	(	PUNCT
cana-513	71	22	s	s	NOUN
cana-513	71	23	)	)	PUNCT
cana-513	71	24	,	,	PUNCT
cana-513	71	25	infectious	infectious	ADJ
cana-513	71	26	(	(	PUNCT
cana-513	71	27	i	i	NOUN
cana-513	71	28	)	)	PUNCT
cana-513	71	29	,	,	PUNCT
cana-513	71	30	and	and	CCONJ
cana-513	71	31	recovered	recover	VERB
cana-513	71	32	(	(	PUNCT
cana-513	71	33	r	r	NOUN
cana-513	71	34	)	)	PUNCT
cana-513	71	35	.	.	PUNCT
cana-513	72	1	it	it	PRON
cana-513	72	2	is	be	AUX
cana-513	72	3	based	base	VERB
cana-513	72	4	on	on	ADP
cana-513	72	5	the	the	DET
cana-513	72	6	models	model	NOUN
cana-513	72	7	in	in	ADP
cana-513	72	8	the	the	DET
cana-513	72	9	previous	previous	ADJ
cana-513	72	10	studies	study	NOUN
cana-513	72	11	[	[	X
cana-513	72	12	16	16	NUM
cana-513	72	13	–	–	PUNCT
cana-513	72	14	19	19	NUM
cana-513	72	15	]	]	PUNCT
cana-513	72	16	.	.	PUNCT
cana-513	73	1	since	since	SCONJ
cana-513	73	2	the	the	DET
cana-513	73	3	disease	disease	NOUN
cana-513	73	4	-	-	PUNCT
cana-513	73	5	induced	induce	VERB
cana-513	73	6	death	death	NOUN
cana-513	73	7	is	be	AUX
cana-513	73	8	negligible	negligible	ADJ
cana-513	73	9	and	and	CCONJ
cana-513	73	10	birth	birth	NOUN
cana-513	73	11	rate	rate	NOUN
cana-513	73	12	is	be	AUX
cana-513	73	13	nearly	nearly	ADV
cana-513	73	14	equal	equal	ADJ
cana-513	73	15	to	to	ADP
cana-513	73	16	death	death	NOUN
cana-513	73	17	rate	rate	NOUN
cana-513	73	18	,	,	PUNCT
cana-513	73	19	so	so	CCONJ
cana-513	73	20	total	total	ADJ
cana-513	73	21	population	population	NOUN
cana-513	73	22	size	size	NOUN
cana-513	73	23	,	,	PUNCT
cana-513	73	24	n(t	n(t	PROPN
cana-513	73	25	)	)	PUNCT
cana-513	73	26	,	,	PUNCT
cana-513	73	27	remains	remain	VERB
cana-513	73	28	constant	constant	ADJ
cana-513	73	29	and	and	CCONJ
cana-513	73	30	homogeneously	homogeneously	ADV
cana-513	73	31	mixed	mixed	ADJ
cana-513	73	32	with	with	ADP
cana-513	73	33	each	each	DET
cana-513	73	34	other	other	ADJ
cana-513	73	35	,	,	PUNCT
cana-513	73	36	where	where	SCONJ
cana-513	73	37	n(t	n(t	PROPN
cana-513	73	38	)	)	PUNCT
cana-513	73	39	=	=	SYM
cana-513	73	40	s(t	s(t	PROPN
cana-513	73	41	)	)	PUNCT
cana-513	74	1	+	+	NUM
cana-513	74	2	i(t	i(t	NOUN
cana-513	74	3	)	)	PUNCT
cana-513	75	1	+	+	NUM
cana-513	75	2	r(t	r(t	NOUN
cana-513	75	3	)	)	PUNCT
cana-513	75	4	.	.	PUNCT
cana-513	76	1	let	let	VERB
cana-513	76	2	β	β	X
cana-513	76	3	be	be	AUX
cana-513	76	4	the	the	DET
cana-513	76	5	baseline	baseline	ADJ
cana-513	76	6	transmission	transmission	NOUN
cana-513	76	7	rate	rate	NOUN
cana-513	76	8	and	and	CCONJ
cana-513	76	9	infectious	infectious	ADJ
cana-513	76	10	individuals	individual	NOUN
cana-513	76	11	are	be	AUX
cana-513	76	12	assumed	assume	VERB
cana-513	76	13	to	to	PART
cana-513	76	14	be	be	AUX
cana-513	76	15	recovered	recover	VERB
cana-513	76	16	at	at	ADP
cana-513	76	17	the	the	DET
cana-513	76	18	rate	rate	NOUN
cana-513	76	19	of	of	ADP
cana-513	76	20	γ	γ	PROPN
cana-513	76	21	.	.	PROPN
cana-513	76	22	recovered	recover	VERB
cana-513	76	23	individuals	individual	NOUN
cana-513	76	24	are	be	AUX
cana-513	76	25	assumed	assume	VERB
cana-513	76	26	to	to	PART
cana-513	76	27	gain	gain	VERB
cana-513	76	28	immunity	immunity	NOUN
cana-513	76	29	for	for	ADP
cana-513	76	30	communications	communication	NOUN
cana-513	76	31	on	on	ADP
cana-513	76	32	applied	apply	VERB
cana-513	76	33	nonlinear	nonlinear	ADJ
cana-513	76	34	analysis	analysis	NOUN
cana-513	76	35	issn	issn	NOUN
cana-513	76	36	:	:	PUNCT
cana-513	76	37	1074	1074	NUM
cana-513	76	38	-	-	PUNCT
cana-513	76	39	133x	133x	NUM
cana-513	76	40	vol	vol	NOUN
cana-513	76	41	31	31	NUM
cana-513	76	42	no	no	NOUN
cana-513	76	43	.	.	NOUN
cana-513	76	44	2	2	NUM
cana-513	76	45	(	(	PUNCT
cana-513	76	46	2024	2024	NUM
cana-513	76	47	)	)	PUNCT
cana-513	76	48	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	76	49	58	58	NUM
cana-513	76	50	certain	certain	ADJ
cana-513	76	51	duration	duration	NOUN
cana-513	76	52	and	and	CCONJ
cana-513	76	53	again	again	ADV
cana-513	76	54	they	they	PRON
cana-513	76	55	have	have	VERB
cana-513	76	56	a	a	DET
cana-513	76	57	chance	chance	NOUN
cana-513	76	58	of	of	ADP
cana-513	76	59	being	be	AUX
cana-513	76	60	infected	infect	VERB
cana-513	76	61	.	.	PUNCT
cana-513	77	1	they	they	PRON
cana-513	77	2	return	return	VERB
cana-513	77	3	to	to	ADP
cana-513	77	4	susceptible	susceptible	ADJ
cana-513	77	5	class	class	NOUN
cana-513	77	6	at	at	ADP
cana-513	77	7	the	the	DET
cana-513	77	8	rate	rate	NOUN
cana-513	77	9	λ	λ	PROPN
cana-513	77	10	.	.	PUNCT
cana-513	78	1	we	we	PRON
cana-513	78	2	consider	consider	VERB
cana-513	78	3	following	follow	VERB
cana-513	78	4	assumptions	assumption	NOUN
cana-513	78	5	•	•	ADP
cana-513	78	6	the	the	DET
cana-513	78	7	population	population	NOUN
cana-513	78	8	is	be	AUX
cana-513	78	9	mixed	mixed	ADJ
cana-513	78	10	and	and	CCONJ
cana-513	78	11	interacting	interact	VERB
cana-513	78	12	homogeneously	homogeneously	ADV
cana-513	78	13	.	.	PUNCT
cana-513	79	1	•	•	NUM
cana-513	79	2	yoga	yoga	NOUN
cana-513	79	3	awareness	awareness	NOUN
cana-513	79	4	includes	include	VERB
cana-513	79	5	pranayama	pranayama	NOUN
cana-513	79	6	as	as	ADV
cana-513	79	7	well	well	ADV
cana-513	79	8	as	as	ADP
cana-513	79	9	awareness	awareness	NOUN
cana-513	79	10	ahar	ahar	NOUN
cana-513	79	11	,	,	PUNCT
cana-513	79	12	vihar	vihar	PROPN
cana-513	79	13	,	,	PUNCT
cana-513	79	14	aachar	aachar	NOUN
cana-513	79	15	,	,	PUNCT
cana-513	79	16	and	and	CCONJ
cana-513	79	17	vichar	vichar	NOUN
cana-513	79	18	.	.	PUNCT
cana-513	80	1	it	it	PRON
cana-513	80	2	is	be	AUX
cana-513	80	3	assumed	assume	VERB
cana-513	80	4	that	that	SCONJ
cana-513	80	5	this	this	DET
cana-513	80	6	package	package	NOUN
cana-513	80	7	of	of	ADP
cana-513	80	8	”	"	PUNCT
cana-513	80	9	yoga	yoga	NOUN
cana-513	80	10	awareness	awareness	NOUN
cana-513	80	11	”	"	PUNCT
cana-513	80	12	reduces	reduce	VERB
cana-513	80	13	the	the	DET
cana-513	80	14	disease	disease	NOUN
cana-513	80	15	burden	burden	NOUN
cana-513	80	16	and	and	CCONJ
cana-513	80	17	the	the	DET
cana-513	80	18	transmission	transmission	NOUN
cana-513	80	19	rate	rate	NOUN
cana-513	80	20	.	.	PUNCT
cana-513	81	1	•	•	NUM
cana-513	81	2	recovered	recover	VERB
cana-513	81	3	individuals	individual	NOUN
cana-513	81	4	develop	develop	VERB
cana-513	81	5	disease	disease	NOUN
cana-513	81	6	acquired	acquire	VERB
cana-513	81	7	temporary	temporary	ADJ
cana-513	81	8	immunity	immunity	NOUN
cana-513	81	9	that	that	PRON
cana-513	81	10	wanes	wane	VERB
cana-513	81	11	at	at	ADP
cana-513	81	12	rate	rate	NOUN
cana-513	81	13	λ	λ	PROPN
cana-513	81	14	.	.	PROPN
cana-513	81	15	•	•	NUM
cana-513	82	1	it	it	PRON
cana-513	82	2	is	be	AUX
cana-513	82	3	assumed	assume	VERB
cana-513	82	4	that	that	SCONJ
cana-513	82	5	disease	disease	NOUN
cana-513	82	6	transmission	transmission	NOUN
cana-513	82	7	rate	rate	NOUN
cana-513	82	8	in	in	ADP
cana-513	82	9	aware	aware	ADJ
cana-513	82	10	susceptible	susceptible	ADJ
cana-513	82	11	β1	β1	NOUN
cana-513	82	12	is	be	AUX
cana-513	82	13	function	function	NOUN
cana-513	82	14	of	of	ADP
cana-513	82	15	time	time	NOUN
cana-513	82	16	and	and	CCONJ
cana-513	82	17	rate	rate	NOUN
cana-513	82	18	of	of	ADP
cana-513	82	19	change	change	NOUN
cana-513	82	20	of	of	ADP
cana-513	82	21	disease	disease	NOUN
cana-513	82	22	transmission	transmission	NOUN
cana-513	82	23	with	with	ADP
cana-513	82	24	respect	respect	NOUN
cana-513	82	25	to	to	ADP
cana-513	82	26	yoga	yoga	NOUN
cana-513	82	27	aware	aware	ADJ
cana-513	82	28	infected	infected	ADJ
cana-513	82	29	mass	mass	NOUN
cana-513	82	30	is	be	AUX
cana-513	82	31	proportional	proportional	ADJ
cana-513	82	32	to	to	AUX
cana-513	82	33	disease	disease	NOUN
cana-513	82	34	transmission	transmission	NOUN
cana-513	82	35	rate	rate	NOUN
cana-513	82	36	and	and	CCONJ
cana-513	82	37	given	give	VERB
cana-513	82	38	by	by	ADP
cana-513	82	39	dβ1	dβ1	NOUN
cana-513	82	40	dm	dm	PROPN
cana-513	82	41	=	=	SYM
cana-513	82	42	−cβ1	−cβ1	PROPN
cana-513	82	43	,	,	PUNCT
cana-513	82	44	where	where	SCONJ
cana-513	82	45	time	time	NOUN
cana-513	82	46	and	and	CCONJ
cana-513	82	47	yoga	yoga	NOUN
cana-513	82	48	aware	aware	ADJ
cana-513	82	49	infected	infect	VERB
cana-513	82	50	mass	mass	ADJ
cana-513	82	51	m(t	m(t	NOUN
cana-513	82	52	)	)	PUNCT
cana-513	82	53	has	have	VERB
cana-513	82	54	same	same	ADJ
cana-513	82	55	scale	scale	NOUN
cana-513	82	56	,	,	PUNCT
cana-513	82	57	where	where	SCONJ
cana-513	82	58	c	c	PROPN
cana-513	82	59	is	be	AUX
cana-513	82	60	non	non	ADJ
cana-513	82	61	-	-	ADJ
cana-513	82	62	negative	negative	ADJ
cana-513	82	63	proportionality	proportionality	NOUN
cana-513	82	64	constant	constant	ADJ
cana-513	82	65	(	(	PUNCT
cana-513	82	66	known	know	VERB
cana-513	82	67	as	as	ADP
cana-513	82	68	level	level	NOUN
cana-513	82	69	of	of	ADP
cana-513	82	70	awareness	awareness	NOUN
cana-513	82	71	coverage	coverage	NOUN
cana-513	82	72	)	)	PUNCT
cana-513	82	73	.	.	PUNCT
cana-513	83	1	negative	negative	ADJ
cana-513	83	2	sign	sign	NOUN
cana-513	83	3	indicates	indicate	VERB
cana-513	83	4	that	that	SCONJ
cana-513	83	5	transmission	transmission	NOUN
cana-513	83	6	rate	rate	NOUN
cana-513	83	7	decreases	decrease	VERB
cana-513	83	8	as	as	ADP
cana-513	83	9	yoga	yoga	NOUN
cana-513	83	10	awareness	awareness	NOUN
cana-513	83	11	increases	increase	NOUN
cana-513	83	12	.	.	PUNCT
cana-513	84	1	therefore	therefore	ADV
cana-513	84	2	,	,	PUNCT
cana-513	84	3	yoga	yoga	NOUN
cana-513	84	4	awareness	awareness	NOUN
cana-513	84	5	induced	induce	VERB
cana-513	84	6	effective	effective	ADJ
cana-513	84	7	transmission	transmission	NOUN
cana-513	84	8	rate	rate	NOUN
cana-513	84	9	is	be	AUX
cana-513	84	10	β1	β1	PROPN
cana-513	84	11	=	=	SYM
cana-513	84	12	βe−cm(t	βe−cm(t	NUM
cana-513	84	13	)	)	PUNCT
cana-513	84	14	,	,	PUNCT
cana-513	84	15	where	where	SCONJ
cana-513	84	16	β	β	X
cana-513	84	17	is	be	AUX
cana-513	84	18	transmission	transmission	NOUN
cana-513	84	19	rate	rate	NOUN
cana-513	84	20	of	of	ADP
cana-513	84	21	disease	disease	NOUN
cana-513	84	22	in	in	ADP
cana-513	84	23	absence	absence	NOUN
cana-513	84	24	of	of	ADP
cana-513	84	25	yoga	yoga	NOUN
cana-513	84	26	awareness	awareness	NOUN
cana-513	84	27	.	.	PUNCT
cana-513	85	1	it	it	PRON
cana-513	85	2	is	be	AUX
cana-513	85	3	assumed	assume	VERB
cana-513	85	4	that	that	SCONJ
cana-513	85	5	individuals	individual	NOUN
cana-513	85	6	adopt	adopt	VERB
cana-513	85	7	behaviors	behavior	NOUN
cana-513	85	8	that	that	PRON
cana-513	85	9	may	may	AUX
cana-513	85	10	reduce	reduce	VERB
cana-513	85	11	the	the	DET
cana-513	85	12	probability	probability	NOUN
cana-513	85	13	of	of	ADP
cana-513	85	14	being	be	AUX
cana-513	85	15	infected	infected	ADJ
cana-513	85	16	e−cm(t	e−cm(t	NOUN
cana-513	85	17	)	)	PUNCT
cana-513	85	18	in	in	ADP
cana-513	85	19	β	β	X
cana-513	85	20	.	.	PUNCT
cana-513	85	21	yoga	yoga	NOUN
cana-513	85	22	awareness	awareness	NOUN
cana-513	85	23	effect	effect	NOUN
cana-513	85	24	incorporated	incorporate	VERB
cana-513	85	25	in	in	ADP
cana-513	85	26	our	our	PRON
cana-513	85	27	transmission	transmission	NOUN
cana-513	85	28	model	model	NOUN
cana-513	85	29	is	be	AUX
cana-513	85	30	m(t	m(t	NOUN
cana-513	85	31	)	)	PUNCT
cana-513	86	1	=	=	SYM
cana-513	86	2	p×m(t	p×m(t	NOUN
cana-513	86	3	)	)	PUNCT
cana-513	86	4	,	,	PUNCT
cana-513	86	5	where	where	SCONJ
cana-513	86	6	m(t	m(t	NOUN
cana-513	86	7	)	)	PUNCT
cana-513	86	8	is	be	AUX
cana-513	86	9	the	the	DET
cana-513	86	10	yoga	yoga	NOUN
cana-513	86	11	aware	aware	ADJ
cana-513	86	12	coverage	coverage	NOUN
cana-513	86	13	mass	mass	NOUN
cana-513	86	14	at	at	ADP
cana-513	86	15	time	time	NOUN
cana-513	86	16	t	t	PROPN
cana-513	86	17	which	which	PRON
cana-513	86	18	includes	include	VERB
cana-513	86	19	the	the	DET
cana-513	86	20	number	number	NOUN
cana-513	86	21	of	of	ADP
cana-513	86	22	yoga	yoga	NOUN
cana-513	86	23	sadhak	sadhak	PROPN
cana-513	86	24	(	(	PUNCT
cana-513	86	25	yoga	yoga	NOUN
cana-513	86	26	teachers	teacher	NOUN
cana-513	86	27	who	who	PRON
cana-513	86	28	conduct	conduct	VERB
cana-513	86	29	classes	class	NOUN
cana-513	86	30	to	to	ADP
cana-513	86	31	aware	aware	ADJ
cana-513	86	32	people	people	NOUN
cana-513	86	33	during	during	ADP
cana-513	86	34	yoga	yoga	NOUN
cana-513	86	35	pranayama	pranayama	NOUN
cana-513	86	36	classes	class	NOUN
cana-513	86	37	)	)	PUNCT
cana-513	86	38	individuals	individual	NOUN
cana-513	86	39	and	and	CCONJ
cana-513	86	40	other	other	ADJ
cana-513	86	41	participants	participant	NOUN
cana-513	86	42	in	in	ADP
cana-513	86	43	the	the	DET
cana-513	86	44	yoga	yoga	NOUN
cana-513	86	45	class	class	NOUN
cana-513	86	46	and	and	CCONJ
cana-513	86	47	p	p	NOUN
cana-513	86	48	is	be	AUX
cana-513	86	49	a	a	DET
cana-513	86	50	scale	scale	NOUN
cana-513	86	51	constant	constant	ADJ
cana-513	86	52	,	,	PUNCT
cana-513	86	53	(	(	PUNCT
cana-513	86	54	m(t	m(t	NOUN
cana-513	86	55	)	)	PUNCT
cana-513	86	56	and	and	CCONJ
cana-513	86	57	p	p	NOUN
cana-513	86	58	are	be	AUX
cana-513	86	59	non	non	ADJ
cana-513	86	60	-	-	ADJ
cana-513	86	61	negative	negative	ADJ
cana-513	86	62	)	)	PUNCT
cana-513	86	63	.	.	PUNCT
cana-513	87	1	this	this	DET
cana-513	87	2	yoga	yoga	NOUN
cana-513	87	3	aware	aware	ADJ
cana-513	87	4	infected	infected	ADJ
cana-513	87	5	term	term	NOUN
cana-513	87	6	m(t	m(t	NOUN
cana-513	87	7	)	)	PUNCT
cana-513	87	8	is	be	AUX
cana-513	87	9	based	base	VERB
cana-513	87	10	on	on	ADP
cana-513	87	11	the	the	DET
cana-513	87	12	assumption	assumption	NOUN
cana-513	87	13	that	that	SCONJ
cana-513	87	14	people	people	NOUN
cana-513	87	15	will	will	AUX
cana-513	87	16	pay	pay	VERB
cana-513	87	17	attention	attention	NOUN
cana-513	87	18	to	to	PART
cana-513	87	19	apply	apply	VERB
cana-513	87	20	healthy	healthy	ADJ
cana-513	87	21	habits	habit	NOUN
cana-513	87	22	along	along	ADP
cana-513	87	23	with	with	ADP
cana-513	87	24	pranayama	pranayama	NOUN
cana-513	87	25	and	and	CCONJ
cana-513	87	26	get	get	VERB
cana-513	87	27	themselves	themselves	PRON
cana-513	87	28	safe	safe	ADJ
cana-513	87	29	from	from	ADP
cana-513	87	30	disease	disease	NOUN
cana-513	87	31	[	[	X
cana-513	87	32	16	16	NUM
cana-513	87	33	]	]	PUNCT
cana-513	87	34	.	.	PUNCT
cana-513	88	1	the	the	DET
cana-513	88	2	flow	flow	NOUN
cana-513	88	3	diagram	diagram	NOUN
cana-513	88	4	of	of	ADP
cana-513	88	5	the	the	DET
cana-513	88	6	model	model	NOUN
cana-513	88	7	is	be	AUX
cana-513	88	8	as	as	SCONJ
cana-513	88	9	shown	show	VERB
cana-513	88	10	in	in	ADP
cana-513	88	11	the	the	DET
cana-513	88	12	following	follow	VERB
cana-513	88	13	diagram	diagram	NOUN
cana-513	88	14	in	in	ADP
cana-513	88	15	the	the	DET
cana-513	88	16	figure	figure	NOUN
cana-513	88	17	1	1	NUM
cana-513	88	18	.	.	PUNCT
cana-513	88	19	communications	communication	NOUN
cana-513	88	20	on	on	ADP
cana-513	88	21	applied	apply	VERB
cana-513	88	22	nonlinear	nonlinear	ADJ
cana-513	88	23	analysis	analysis	NOUN
cana-513	88	24	issn	issn	NOUN
cana-513	88	25	:	:	PUNCT
cana-513	88	26	1074	1074	NUM
cana-513	88	27	-	-	PUNCT
cana-513	88	28	133x	133x	NUM
cana-513	88	29	vol	vol	NOUN
cana-513	88	30	31	31	NUM
cana-513	88	31	no	no	NOUN
cana-513	88	32	.	.	NOUN
cana-513	88	33	2	2	NUM
cana-513	88	34	(	(	PUNCT
cana-513	88	35	2024	2024	NUM
cana-513	88	36	)	)	PUNCT
cana-513	88	37	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	88	38	59	59	NUM
cana-513	88	39	figure	figure	NOUN
cana-513	88	40	1	1	NUM
cana-513	88	41	:	:	PUNCT
cana-513	88	42	schematic	schematic	ADJ
cana-513	88	43	diagram	diagram	NOUN
cana-513	88	44	of	of	ADP
cana-513	88	45	sirs	sir	NOUN
cana-513	88	46	model	model	VERB
cana-513	88	47	with	with	ADP
cana-513	88	48	yoga	yoga	NOUN
cana-513	88	49	awareness	awareness	NOUN
cana-513	88	50	transmission	transmission	NOUN
cana-513	88	51	rate	rate	NOUN
cana-513	88	52	β1	β1	NOUN
cana-513	88	53	=	=	PUNCT
cana-513	88	54	βe−cm(t	βe−cm(t	NUM
cana-513	88	55	)	)	PUNCT
cana-513	88	56	.	.	PUNCT
cana-513	89	1	under	under	ADP
cana-513	89	2	these	these	DET
cana-513	89	3	assumptions	assumption	NOUN
cana-513	89	4	,	,	PUNCT
cana-513	89	5	the	the	DET
cana-513	89	6	system	system	NOUN
cana-513	89	7	of	of	ADP
cana-513	89	8	differential	differential	ADJ
cana-513	89	9	equations	equation	NOUN
cana-513	89	10	that	that	PRON
cana-513	89	11	describes	describe	VERB
cana-513	89	12	disease	disease	NOUN
cana-513	89	13	dynamics	dynamic	NOUN
cana-513	89	14	is	be	AUX
cana-513	89	15	given	give	VERB
cana-513	89	16	as	as	SCONJ
cana-513	89	17	follows	follow	VERB
cana-513	89	18	ds1	ds1	PROPN
cana-513	89	19	dt	dt	X
cana-513	90	1	=	=	PUNCT
cana-513	90	2	∧n	∧n	X
cana-513	90	3	−	−	PROPN
cana-513	90	4	βe−cm(t)s1i1	βe−cm(t)s1i1	SYM
cana-513	90	5	n	n	PROPN
cana-513	91	1	+	+	NUM
cana-513	91	2	λr1	λr1	NOUN
cana-513	91	3	−	−	NOUN
cana-513	91	4	µs1	µs1	NOUN
cana-513	91	5	di1	di1	NOUN
cana-513	91	6	dt	dt	NOUN
cana-513	92	1	=	=	SYM
cana-513	92	2	βe−cm(t)s1i1	βe−cm(t)s1i1	PROPN
cana-513	92	3	n	n	NUM
cana-513	92	4	−	−	NOUN
cana-513	92	5	µi1	µi1	ADV
cana-513	92	6	−	−	PROPN
cana-513	92	7	γi1	γi1	NOUN
cana-513	92	8	(	(	PUNCT
cana-513	92	9	1	1	NUM
cana-513	92	10	)	)	PUNCT
cana-513	92	11	dr1	dr1	PROPN
cana-513	92	12	dt	dt	NOUN
cana-513	93	1	=	=	SYM
cana-513	93	2	γi1	γi1	NOUN
cana-513	93	3	−	−	NOUN
cana-513	93	4	µr1	µr1	ADP
cana-513	93	5	−	−	PROPN
cana-513	93	6	λr1	λr1	NOUN
cana-513	93	7	with	with	ADP
cana-513	93	8	initial	initial	ADJ
cana-513	93	9	conditions	condition	NOUN
cana-513	93	10	s1(0	s1(0	PROPN
cana-513	93	11	)	)	PUNCT
cana-513	94	1	=	=	SYM
cana-513	94	2	s0	s0	PROPN
cana-513	94	3	>	>	PUNCT
cana-513	94	4	0	0	NUM
cana-513	94	5	,	,	PUNCT
cana-513	94	6	i1(0	i1(0	PROPN
cana-513	94	7	)	)	PUNCT
cana-513	94	8	=	=	VERB
cana-513	95	1	i0	i0	PROPN
cana-513	95	2	>	>	X
cana-513	95	3	0	0	PROPN
cana-513	95	4	,	,	PUNCT
cana-513	95	5	r1(0	r1(0	PROPN
cana-513	95	6	)	)	PUNCT
cana-513	95	7	=	=	SYM
cana-513	95	8	r0	r0	NOUN
cana-513	95	9	>	>	X
cana-513	95	10	0	0	PUNCT
cana-513	96	1	(	(	PUNCT
cana-513	96	2	2	2	NUM
cana-513	96	3	)	)	PUNCT
cana-513	96	4	also	also	ADV
cana-513	96	5	,	,	PUNCT
cana-513	96	6	n(t	n(t	PROPN
cana-513	96	7	)	)	PUNCT
cana-513	96	8	=	=	PUNCT
cana-513	97	1	s1(t	s1(t	X
cana-513	97	2	)	)	PUNCT
cana-513	97	3	+	+	X
cana-513	97	4	i1(t	i1(t	X
cana-513	97	5	)	)	PUNCT
cana-513	98	1	+	+	NOUN
cana-513	98	2	r1(t	r1(t	NOUN
cana-513	98	3	)	)	PUNCT
cana-513	98	4	let	let	VERB
cana-513	98	5	us	we	PRON
cana-513	98	6	consider	consider	VERB
cana-513	98	7	the	the	DET
cana-513	98	8	three	three	NUM
cana-513	98	9	dimensional	dimensional	ADJ
cana-513	98	10	region	region	NOUN
cana-513	99	1	ω	ω	NOUN
cana-513	99	2	=	=	PUNCT
cana-513	100	1	[	[	X
cana-513	100	2	(	(	PUNCT
cana-513	100	3	s1	s1	PROPN
cana-513	100	4	,	,	PUNCT
cana-513	100	5	i1	i1	PROPN
cana-513	100	6	,	,	PUNCT
cana-513	100	7	r	r	NOUN
cana-513	100	8	!	!	PUNCT
cana-513	100	9	)	)	PUNCT
cana-513	100	10	:	:	PUNCT
cana-513	101	1	0	0	NUM
cana-513	101	2	≤	≤	NUM
cana-513	101	3	s1	s1	NOUN
cana-513	101	4	,	,	PUNCT
cana-513	101	5	i1	i1	PROPN
cana-513	101	6	,	,	PUNCT
cana-513	101	7	r1	r1	VERB
cana-513	101	8	≤	≤	ADJ
cana-513	101	9	∧	∧	PROPN
cana-513	101	10	µ	µ	X
cana-513	101	11	]	]	PUNCT
cana-513	101	12	communications	communication	NOUN
cana-513	101	13	on	on	ADP
cana-513	101	14	applied	apply	VERB
cana-513	101	15	nonlinear	nonlinear	ADJ
cana-513	101	16	analysis	analysis	NOUN
cana-513	101	17	issn	issn	NOUN
cana-513	101	18	:	:	PUNCT
cana-513	101	19	1074	1074	NUM
cana-513	101	20	-	-	PUNCT
cana-513	101	21	133x	133x	NUM
cana-513	101	22	vol	vol	NOUN
cana-513	101	23	31	31	NUM
cana-513	101	24	no	no	NOUN
cana-513	101	25	.	.	NOUN
cana-513	101	26	2	2	NUM
cana-513	101	27	(	(	PUNCT
cana-513	101	28	2024	2024	NUM
cana-513	101	29	)	)	PUNCT
cana-513	101	30	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	101	31	60	60	NUM
cana-513	101	32	table	table	NOUN
cana-513	101	33	1	1	NUM
cana-513	101	34	description	description	NOUN
cana-513	101	35	of	of	ADP
cana-513	101	36	parameters	parameter	NOUN
cana-513	101	37	for	for	ADP
cana-513	101	38	the	the	DET
cana-513	101	39	system	system	NOUN
cana-513	101	40	(	(	PUNCT
cana-513	101	41	1	1	NUM
cana-513	101	42	)	)	PUNCT
cana-513	101	43	.	.	PUNCT
cana-513	102	1	parameter	parameter	NOUN
cana-513	102	2	description	description	NOUN
cana-513	102	3	unit	unit	NOUN
cana-513	102	4	∧	∧	PROPN
cana-513	102	5	recruitment	recruitment	NOUN
cana-513	102	6	rate	rate	NOUN
cana-513	102	7	days−1	days−1	NOUN
cana-513	102	8	1	1	NUM
cana-513	102	9	µ	µ	PRON
cana-513	102	10	average	average	ADJ
cana-513	102	11	life	life	NOUN
cana-513	102	12	-	-	PUNCT
cana-513	102	13	span	span	NOUN
cana-513	102	14	day	day	NOUN
cana-513	102	15	β	β	NOUN
cana-513	102	16	disease	disease	NOUN
cana-513	102	17	transmission	transmission	NOUN
cana-513	102	18	rate	rate	NOUN
cana-513	102	19	in	in	ADP
cana-513	102	20	absence	absence	NOUN
cana-513	102	21	of	of	ADP
cana-513	102	22	yoga	yoga	NOUN
cana-513	102	23	awareness	awareness	NOUN
cana-513	102	24	day−1	day−1	PROPN
cana-513	102	25	β1	β1	PROPN
cana-513	102	26	disease	disease	NOUN
cana-513	102	27	transmission	transmission	NOUN
cana-513	102	28	rate	rate	NOUN
cana-513	102	29	with	with	ADP
cana-513	102	30	yoga	yoga	NOUN
cana-513	102	31	awareness	awareness	NOUN
cana-513	102	32	day−1	day−1	PROPN
cana-513	102	33	c	c	NOUN
cana-513	102	34	level	level	NOUN
cana-513	102	35	of	of	ADP
cana-513	102	36	yoga	yoga	NOUN
cana-513	102	37	awareness	awareness	NOUN
cana-513	102	38	coverage	coverage	NOUN
cana-513	102	39	assumed	assume	VERB
cana-513	102	40	γ	γ	PROPN
cana-513	102	41	rate	rate	NOUN
cana-513	102	42	of	of	ADP
cana-513	102	43	recovery	recovery	NOUN
cana-513	102	44	from	from	ADP
cana-513	102	45	infection	infection	NOUN
cana-513	102	46	day−1	day−1	PROPN
cana-513	102	47	λ	λ	PROPN
cana-513	102	48	rate	rate	NOUN
cana-513	102	49	at	at	ADP
cana-513	102	50	which	which	PRON
cana-513	102	51	disease	disease	NOUN
cana-513	102	52	-	-	PUNCT
cana-513	102	53	induced	induce	VERB
cana-513	102	54	immunity	immunity	NOUN
cana-513	102	55	wanes	wane	VERB
cana-513	102	56	day−1	day−1	PROPN
cana-513	102	57	table	table	NOUN
cana-513	102	58	1	1	NUM
cana-513	102	59	:	:	PUNCT
cana-513	102	60	description	description	NOUN
cana-513	102	61	of	of	ADP
cana-513	102	62	parameters	parameter	NOUN
cana-513	102	63	.	.	PUNCT
cana-513	103	1	2.2	2.2	NUM
cana-513	103	2	positivity	positivity	NOUN
cana-513	103	3	and	and	CCONJ
cana-513	103	4	boundedness	boundedness	NOUN
cana-513	103	5	since	since	SCONJ
cana-513	103	6	the	the	DET
cana-513	103	7	model	model	NOUN
cana-513	103	8	(	(	PUNCT
cana-513	103	9	1	1	NUM
cana-513	103	10	)	)	PUNCT
cana-513	103	11	with	with	ADP
cana-513	103	12	given	give	VERB
cana-513	103	13	initial	initial	ADJ
cana-513	103	14	conditions	condition	NOUN
cana-513	103	15	(	(	PUNCT
cana-513	103	16	2	2	X
cana-513	103	17	)	)	PUNCT
cana-513	103	18	represent	represent	VERB
cana-513	103	19	the	the	DET
cana-513	103	20	dynamics	dynamic	NOUN
cana-513	103	21	of	of	ADP
cana-513	103	22	population	population	NOUN
cana-513	103	23	,	,	PUNCT
cana-513	103	24	it	it	PRON
cana-513	103	25	is	be	AUX
cana-513	103	26	essential	essential	ADJ
cana-513	103	27	to	to	PART
cana-513	103	28	show	show	VERB
cana-513	103	29	that	that	SCONJ
cana-513	103	30	its	its	PRON
cana-513	103	31	solutions	solution	NOUN
cana-513	103	32	are	be	AUX
cana-513	103	33	positive	positive	ADJ
cana-513	103	34	and	and	CCONJ
cana-513	103	35	bounded	bound	VERB
cana-513	103	36	.	.	PUNCT
cana-513	104	1	theorem	theorem	VERB
cana-513	104	2	2.1	2.1	NUM
cana-513	104	3	.	.	PUNCT
cana-513	105	1	[	[	X
cana-513	105	2	20	20	NUM
cana-513	105	3	]	]	PUNCT
cana-513	105	4	the	the	DET
cana-513	105	5	solution	solution	NOUN
cana-513	105	6	of	of	ADP
cana-513	105	7	system	system	NOUN
cana-513	105	8	(	(	PUNCT
cana-513	105	9	1	1	NUM
cana-513	105	10	)	)	PUNCT
cana-513	105	11	with	with	ADP
cana-513	105	12	initial	initial	ADJ
cana-513	105	13	conditions	condition	NOUN
cana-513	105	14	(	(	PUNCT
cana-513	105	15	2	2	X
cana-513	105	16	)	)	PUNCT
cana-513	105	17	are	be	AUX
cana-513	105	18	positive	positive	ADJ
cana-513	105	19	and	and	CCONJ
cana-513	105	20	bounded	bound	VERB
cana-513	105	21	,	,	PUNCT
cana-513	105	22	i.e.	i.e.	X
cana-513	105	23	,	,	PUNCT
cana-513	105	24	all	all	DET
cana-513	105	25	the	the	DET
cana-513	105	26	trajectories	trajectory	NOUN
cana-513	105	27	of	of	ADP
cana-513	105	28	system	system	NOUN
cana-513	105	29	(	(	PUNCT
cana-513	105	30	1	1	X
cana-513	105	31	)	)	PUNCT
cana-513	105	32	initiating	initiate	VERB
cana-513	105	33	inside	inside	ADP
cana-513	105	34	ω	ω	PROPN
cana-513	105	35	,	,	PUNCT
cana-513	105	36	will	will	AUX
cana-513	105	37	stay	stay	VERB
cana-513	105	38	within	within	ADP
cana-513	105	39	the	the	DET
cana-513	105	40	interior	interior	NOUN
cana-513	105	41	of	of	ADP
cana-513	105	42	ω	ω	PROPN
cana-513	105	43	.	.	PUNCT
cana-513	106	1	proof	proof	NOUN
cana-513	106	2	.	.	PUNCT
cana-513	107	1	let	let	VERB
cana-513	107	2	r3	r3	PROPN
cana-513	107	3	+	+	CCONJ
cana-513	107	4	=	=	SYM
cana-513	107	5	{	{	PUNCT
cana-513	107	6	(	(	PUNCT
cana-513	107	7	s1	s1	PROPN
cana-513	107	8	,	,	PUNCT
cana-513	107	9	i1	i1	PROPN
cana-513	107	10	,	,	PUNCT
cana-513	107	11	r1	r1	PROPN
cana-513	107	12	)	)	PUNCT
cana-513	107	13	∈	∈	PROPN
cana-513	107	14	r3	r3	PROPN
cana-513	108	1	+	+	CCONJ
cana-513	108	2	:	:	PUNCT
cana-513	108	3	s1	s1	NOUN
cana-513	108	4	≥	≥	NUM
cana-513	108	5	0	0	NUM
cana-513	108	6	,	,	PUNCT
cana-513	108	7	i1	i1	PROPN
cana-513	108	8	≥	≥	PROPN
cana-513	108	9	0	0	NUM
cana-513	108	10	,	,	PUNCT
cana-513	108	11	r1	r1	PROPN
cana-513	108	12	≥	≥	NUM
cana-513	108	13	0	0	NUM
cana-513	108	14	}	}	PUNCT
cana-513	108	15	be	be	AUX
cana-513	108	16	the	the	DET
cana-513	108	17	three	three	NUM
cana-513	108	18	dimentional	dimentional	ADJ
cana-513	108	19	space	space	NOUN
cana-513	108	20	.	.	PUNCT
cana-513	109	1	from	from	ADP
cana-513	109	2	(	(	PUNCT
cana-513	109	3	1	1	NUM
cana-513	109	4	)	)	PUNCT
cana-513	109	5	,	,	PUNCT
cana-513	109	6	we	we	PRON
cana-513	109	7	observed	observe	VERB
cana-513	109	8	that	that	SCONJ
cana-513	109	9	ds1	ds1	PROPN
cana-513	109	10	dt	dt	PART
cana-513	110	1	=	=	PUNCT
cana-513	110	2	∧n	∧n	PROPN
cana-513	110	3	+	+	CCONJ
cana-513	110	4	λr1	λr1	NOUN
cana-513	110	5	>	>	X
cana-513	110	6	0	0	PUNCT
cana-513	110	7	when	when	SCONJ
cana-513	110	8	s1	s1	PROPN
cana-513	110	9	=	=	SYM
cana-513	110	10	0	0	NUM
cana-513	110	11	di1	di1	NOUN
cana-513	110	12	dt	dt	NOUN
cana-513	111	1	=	=	NOUN
cana-513	111	2	0	0	PROPN
cana-513	111	3	when	when	SCONJ
cana-513	111	4	i1	i1	PROPN
cana-513	111	5	=	=	PROPN
cana-513	111	6	0	0	PROPN
cana-513	111	7	dr	dr	PROPN
cana-513	111	8	dt	dt	PROPN
cana-513	111	9	=	=	SYM
cana-513	111	10	γ1i1	γ1i1	PRON
cana-513	111	11	≥	≥	NUM
cana-513	111	12	when	when	SCONJ
cana-513	111	13	r1	r1	PROPN
cana-513	111	14	=	=	SYM
cana-513	111	15	0	0	NUM
cana-513	111	16	and	and	CCONJ
cana-513	111	17	s1(t	s1(t	NOUN
cana-513	111	18	)	)	PUNCT
cana-513	111	19	,	,	PUNCT
cana-513	111	20	i1(t	i1(t	PROPN
cana-513	111	21	)	)	PUNCT
cana-513	111	22	,	,	PUNCT
cana-513	111	23	r1(t	r1(t	PROPN
cana-513	111	24	)	)	PUNCT
cana-513	111	25	are	be	AUX
cana-513	111	26	continuous	continuous	ADJ
cana-513	111	27	function	function	NOUN
cana-513	111	28	of	of	ADP
cana-513	111	29	t.	t.	PROPN
cana-513	111	30	thus	thus	ADV
cana-513	111	31	,	,	PUNCT
cana-513	111	32	the	the	DET
cana-513	111	33	vector	vector	NOUN
cana-513	111	34	field	field	NOUN
cana-513	111	35	initiating	initiate	VERB
cana-513	111	36	in	in	ADP
cana-513	111	37	r3	r3	PROPN
cana-513	111	38	+	+	CCONJ
cana-513	111	39	will	will	AUX
cana-513	111	40	remain	remain	VERB
cana-513	111	41	inside	inside	ADP
cana-513	111	42	r3	r3	PROPN
cana-513	111	43	+	+	CCONJ
cana-513	111	44	for	for	ADP
cana-513	111	45	all	all	DET
cana-513	111	46	the	the	DET
cana-513	111	47	time	time	NOUN
cana-513	111	48	.	.	PUNCT
cana-513	112	1	also	also	ADV
cana-513	112	2	,	,	PUNCT
cana-513	112	3	the	the	DET
cana-513	112	4	total	total	ADJ
cana-513	112	5	population	population	NOUN
cana-513	112	6	,	,	PUNCT
cana-513	112	7	n(t	n(t	PROPN
cana-513	112	8	)	)	PUNCT
cana-513	112	9	=	=	PUNCT
cana-513	112	10	s1(t	s1(t	X
cana-513	112	11	)	)	PUNCT
cana-513	112	12	+	+	X
cana-513	112	13	i1(t	i1(t	X
cana-513	112	14	)	)	PUNCT
cana-513	112	15	+	+	CCONJ
cana-513	112	16	r1(t	r1(t	NOUN
cana-513	112	17	)	)	PUNCT
cana-513	112	18	is	be	AUX
cana-513	112	19	constant	constant	ADJ
cana-513	112	20	satisfies	satisfie	NOUN
cana-513	112	21	dn	dn	ADP
cana-513	112	22	dt	dt	NOUN
cana-513	113	1	=	=	PUNCT
cana-513	114	1	0	0	X
cana-513	114	2	.	.	PUNCT
cana-513	114	3	therefore	therefore	ADV
cana-513	114	4	,	,	PUNCT
cana-513	114	5	system	system	NOUN
cana-513	114	6	(	(	PUNCT
cana-513	114	7	1	1	X
cana-513	114	8	)	)	PUNCT
cana-513	114	9	is	be	AUX
cana-513	114	10	bounded	bound	VERB
cana-513	114	11	and	and	CCONJ
cana-513	114	12	its	its	PRON
cana-513	114	13	any	any	DET
cana-513	114	14	solution	solution	NOUN
cana-513	114	15	originates	originate	NOUN
cana-513	114	16	from	from	ADP
cana-513	114	17	ω	ω	PROPN
cana-513	114	18	remains	remain	VERB
cana-513	114	19	in	in	ADP
cana-513	114	20	ω	ω	PROPN
cana-513	114	21	.	.	PROPN
cana-513	115	1	2.3	2.3	NUM
cana-513	115	2	normalization	normalization	NOUN
cana-513	115	3	of	of	ADP
cana-513	115	4	the	the	DET
cana-513	115	5	model	model	NOUN
cana-513	115	6	we	we	PRON
cana-513	115	7	can	can	AUX
cana-513	115	8	normalize	normalize	VERB
cana-513	115	9	the	the	DET
cana-513	115	10	above	above	ADJ
cana-513	115	11	system	system	NOUN
cana-513	115	12	(	(	PUNCT
cana-513	115	13	1	1	NUM
cana-513	115	14	)	)	PUNCT
cana-513	115	15	with	with	ADP
cana-513	115	16	initial	initial	ADJ
cana-513	115	17	conditions	condition	NOUN
cana-513	115	18	(	(	PUNCT
cana-513	115	19	2	2	NUM
cana-513	115	20	)	)	PUNCT
cana-513	115	21	as	as	ADP
cana-513	115	22	follow	follow	VERB
cana-513	115	23	s	s	PART
cana-513	115	24	=	=	NOUN
cana-513	115	25	s1	s1	PROPN
cana-513	115	26	n	n	NOUN
cana-513	115	27	,	,	PUNCT
cana-513	115	28	i	i	PROPN
cana-513	115	29	=	=	PROPN
cana-513	115	30	i1	i1	PROPN
cana-513	115	31	n	n	PROPN
cana-513	115	32	,	,	PUNCT
cana-513	115	33	r1	r1	PROPN
cana-513	115	34	=	=	SYM
cana-513	115	35	r1	r1	PROPN
cana-513	115	36	n	n	PROPN
cana-513	115	37	.	.	PUNCT
cana-513	116	1	communications	communication	NOUN
cana-513	116	2	on	on	ADP
cana-513	116	3	applied	apply	VERB
cana-513	116	4	nonlinear	nonlinear	ADJ
cana-513	116	5	analysis	analysis	NOUN
cana-513	116	6	issn	issn	NOUN
cana-513	116	7	:	:	PUNCT
cana-513	116	8	1074	1074	NUM
cana-513	116	9	-	-	PUNCT
cana-513	116	10	133x	133x	NUM
cana-513	116	11	vol	vol	NOUN
cana-513	116	12	31	31	NUM
cana-513	116	13	no	no	NOUN
cana-513	116	14	.	.	NOUN
cana-513	116	15	2	2	NUM
cana-513	116	16	(	(	PUNCT
cana-513	116	17	2024	2024	NUM
cana-513	116	18	)	)	PUNCT
cana-513	116	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	116	20	61	61	NUM
cana-513	116	21	the	the	DET
cana-513	116	22	rescaled	rescaled	ADJ
cana-513	116	23	equations	equation	NOUN
cana-513	116	24	are	be	AUX
cana-513	116	25	ds	ds	PRON
cana-513	116	26	dt	dt	NOUN
cana-513	116	27	=	=	SYM
cana-513	116	28	∧	∧	PROPN
cana-513	116	29	−	−	PROPN
cana-513	117	1	βe−cm(t)si	βe−cm(t)si	PRON
cana-513	117	2	+	+	X
cana-513	117	3	λr−	λr−	PUNCT
cana-513	117	4	µs	µs	X
cana-513	117	5	di	di	NOUN
cana-513	117	6	dt	dt	NOUN
cana-513	117	7	=	=	PUNCT
cana-513	118	1	βe−cm(t)si	βe−cm(t)si	PROPN
cana-513	118	2	−	−	PROPN
cana-513	119	1	µi	µi	INTJ
cana-513	119	2	−	−	PROPN
cana-513	119	3	γi	γi	INTJ
cana-513	119	4	(	(	PUNCT
cana-513	119	5	3	3	X
cana-513	119	6	)	)	PUNCT
cana-513	119	7	dr	dr	NOUN
cana-513	119	8	dt	dt	NOUN
cana-513	119	9	=	=	PUNCT
cana-513	119	10	γi	γi	PROPN
cana-513	119	11	−	−	PROPN
cana-513	119	12	µr−	µr−	PUNCT
cana-513	119	13	λr	λr	NOUN
cana-513	119	14	with	with	ADP
cana-513	119	15	initial	initial	ADJ
cana-513	119	16	conditions	condition	NOUN
cana-513	119	17	s(0	s(0	PROPN
cana-513	119	18	)	)	PUNCT
cana-513	119	19	=	=	SYM
cana-513	119	20	s0	s0	PROPN
cana-513	119	21	>	>	PUNCT
cana-513	119	22	0	0	NUM
cana-513	119	23	,	,	PUNCT
cana-513	119	24	i(0	i(0	PROPN
cana-513	119	25	)	)	PUNCT
cana-513	120	1	=	=	VERB
cana-513	120	2	i0	i0	PROPN
cana-513	120	3	>	>	X
cana-513	120	4	0	0	PROPN
cana-513	120	5	,	,	PUNCT
cana-513	120	6	r(0	r(0	PROPN
cana-513	120	7	)	)	PUNCT
cana-513	120	8	=	=	SYM
cana-513	120	9	r0	r0	NOUN
cana-513	120	10	>	>	X
cana-513	120	11	0	0	NUM
cana-513	120	12	.	.	X
cana-513	120	13	2.4	2.4	NUM
cana-513	120	14	parameter	parameter	NOUN
cana-513	120	15	estimation	estimation	NOUN
cana-513	120	16	in	in	ADP
cana-513	120	17	this	this	DET
cana-513	120	18	section	section	NOUN
cana-513	120	19	,	,	PUNCT
cana-513	120	20	we	we	PRON
cana-513	120	21	estimate	estimate	VERB
cana-513	120	22	parameters	parameter	NOUN
cana-513	120	23	for	for	ADP
cana-513	120	24	the	the	DET
cana-513	120	25	yoga	yoga	NOUN
cana-513	120	26	awareness	awareness	NOUN
cana-513	120	27	effect	effect	NOUN
cana-513	120	28	term	term	NOUN
cana-513	120	29	under	under	ADP
cana-513	120	30	the	the	DET
cana-513	120	31	model	model	NOUN
cana-513	120	32	considered	consider	VERB
cana-513	120	33	which	which	PRON
cana-513	120	34	includes	include	VERB
cana-513	120	35	the	the	DET
cana-513	120	36	term	term	NOUN
cana-513	120	37	m(t	m(t	NOUN
cana-513	120	38	)	)	PUNCT
cana-513	120	39	.	.	PUNCT
cana-513	121	1	this	this	DET
cana-513	121	2	yoga	yoga	NOUN
cana-513	121	3	awareness	awareness	NOUN
cana-513	121	4	term	term	NOUN
cana-513	121	5	is	be	AUX
cana-513	121	6	incorporated	incorporate	VERB
cana-513	121	7	into	into	ADP
cana-513	121	8	the	the	DET
cana-513	121	9	incidence	incidence	NOUN
cana-513	121	10	rate	rate	NOUN
cana-513	121	11	,	,	PUNCT
cana-513	121	12	βe−cm(t)si	βe−cm(t)si	PROPN
cana-513	121	13	.	.	PUNCT
cana-513	122	1	this	this	DET
cana-513	122	2	model	model	NOUN
cana-513	122	3	utilized	utilize	VERB
cana-513	122	4	the	the	DET
cana-513	122	5	real	real	ADJ
cana-513	122	6	world	world	NOUN
cana-513	122	7	yoga	yoga	NOUN
cana-513	122	8	awareness	awareness	NOUN
cana-513	122	9	coverage	coverage	NOUN
cana-513	122	10	data	datum	NOUN
cana-513	122	11	in	in	ADP
cana-513	122	12	20	20	NUM
cana-513	122	13	yoga	yoga	NOUN
cana-513	122	14	centers	center	NOUN
cana-513	122	15	of	of	ADP
cana-513	122	16	sudurpashchhim	sudurpashchhim	PROPN
cana-513	122	17	province	province	NOUN
cana-513	122	18	,	,	PUNCT
cana-513	122	19	nepal	nepal	ADJ
cana-513	122	20	as	as	SCONJ
cana-513	122	21	shown	show	VERB
cana-513	122	22	in	in	ADP
cana-513	122	23	appendix	appendix	NOUN
cana-513	122	24	(	(	PUNCT
cana-513	122	25	5	5	NUM
cana-513	122	26	)	)	PUNCT
cana-513	122	27	and	and	CCONJ
cana-513	122	28	m(t	m(t	NOUN
cana-513	122	29	)	)	PUNCT
cana-513	123	1	=	=	NOUN
cana-513	124	1	p	p	X
cana-513	124	2	×	×	PROPN
cana-513	124	3	m(t	m(t	NOUN
cana-513	124	4	)	)	PUNCT
cana-513	124	5	where	where	SCONJ
cana-513	124	6	,	,	PUNCT
cana-513	124	7	m(t	m(t	PROPN
cana-513	124	8	)	)	PUNCT
cana-513	124	9	is	be	AUX
cana-513	124	10	the	the	DET
cana-513	124	11	amount	amount	NOUN
cana-513	124	12	of	of	ADP
cana-513	124	13	yoga	yoga	NOUN
cana-513	124	14	awareness	awareness	NOUN
cana-513	124	15	coverage	coverage	NOUN
cana-513	124	16	data	datum	NOUN
cana-513	124	17	at	at	ADP
cana-513	124	18	time	time	NOUN
cana-513	124	19	t	t	PROPN
cana-513	124	20	,	,	PUNCT
cana-513	124	21	m(t	m(t	PROPN
cana-513	124	22	)	)	PUNCT
cana-513	124	23	is	be	AUX
cana-513	124	24	yoga	yoga	NOUN
cana-513	124	25	aware	aware	ADJ
cana-513	124	26	infected	infected	ADJ
cana-513	124	27	individuals	individual	NOUN
cana-513	124	28	,	,	PUNCT
cana-513	124	29	and	and	CCONJ
cana-513	124	30	p	p	NOUN
cana-513	124	31	is	be	AUX
cana-513	124	32	the	the	DET
cana-513	124	33	scale	scale	NOUN
cana-513	124	34	constant	constant	ADJ
cana-513	124	35	.	.	PUNCT
cana-513	125	1	the	the	DET
cana-513	125	2	observed	observe	VERB
cana-513	125	3	data	datum	NOUN
cana-513	125	4	m(t	m(t	NOUN
cana-513	125	5	)	)	PUNCT
cana-513	126	1	=	=	PUNCT
cana-513	126	2	(	(	PUNCT
cana-513	126	3	x1	x1	PROPN
cana-513	126	4	,	,	PUNCT
cana-513	126	5	x2	x2	PROPN
cana-513	126	6	,	,	PUNCT
cana-513	126	7	.	.	PUNCT
cana-513	126	8	.	.	PUNCT
cana-513	126	9	.	.	PUNCT
cana-513	127	1	,	,	PUNCT
cana-513	127	2	xn	xn	X
cana-513	127	3	)	)	PUNCT
cana-513	127	4	and	and	CCONJ
cana-513	127	5	m(t	m(t	NOUN
cana-513	127	6	)	)	PUNCT
cana-513	128	1	=	=	PRON
cana-513	128	2	(	(	PUNCT
cana-513	128	3	y1	y1	INTJ
cana-513	128	4	,	,	PUNCT
cana-513	128	5	y2	y2	PROPN
cana-513	128	6	,	,	PUNCT
cana-513	128	7	y3	y3	PROPN
cana-513	128	8	,	,	PUNCT
cana-513	128	9	.	.	PUNCT
cana-513	128	10	.	.	PUNCT
cana-513	128	11	.	.	PUNCT
cana-513	129	1	,	,	PUNCT
cana-513	129	2	yn	yn	PROPN
cana-513	129	3	)	)	PUNCT
cana-513	129	4	were	be	AUX
cana-513	129	5	taken	take	VERB
cana-513	129	6	,	,	PUNCT
cana-513	129	7	where	where	SCONJ
cana-513	129	8	xi	xi	PROPN
cana-513	129	9	represents	represent	VERB
cana-513	129	10	yoga	yoga	NOUN
cana-513	129	11	aware	aware	ADJ
cana-513	129	12	individuals	individual	NOUN
cana-513	129	13	per	per	ADP
cana-513	129	14	center	center	NOUN
cana-513	129	15	and	and	CCONJ
cana-513	129	16	yi	yi	PROPN
cana-513	129	17	represents	represent	VERB
cana-513	129	18	yoga	yoga	NOUN
cana-513	129	19	aware	aware	ADJ
cana-513	129	20	infected	infect	VERB
cana-513	129	21	individuals	individual	NOUN
cana-513	129	22	per	per	ADP
cana-513	129	23	center	center	NOUN
cana-513	129	24	.	.	PUNCT
cana-513	130	1	the	the	DET
cana-513	130	2	scale	scale	NOUN
cana-513	130	3	constant	constant	ADJ
cana-513	130	4	p	p	NOUN
cana-513	130	5	is	be	AUX
cana-513	130	6	estimated	estimate	VERB
cana-513	130	7	through	through	ADP
cana-513	130	8	least	least	ADJ
cana-513	130	9	-	-	PUNCT
cana-513	130	10	square	square	NOUN
cana-513	130	11	fitting	fitting	NOUN
cana-513	130	12	of	of	ADP
cana-513	130	13	total	total	ADJ
cana-513	130	14	infected	infected	ADJ
cana-513	130	15	yoga	yoga	NOUN
cana-513	130	16	aware	aware	ADJ
cana-513	130	17	individuals	individual	NOUN
cana-513	130	18	m	m	PROPN
cana-513	130	19	(	(	PUNCT
cana-513	130	20	t	t	NOUN
cana-513	130	21	)	)	PUNCT
cana-513	130	22	and	and	CCONJ
cana-513	130	23	yoga	yoga	NOUN
cana-513	130	24	aware	aware	ADJ
cana-513	130	25	mass	mass	PROPN
cana-513	130	26	data	datum	NOUN
cana-513	130	27	m(t	m(t	PROPN
cana-513	130	28	)	)	PUNCT
cana-513	130	29	.	.	PUNCT
cana-513	131	1	the	the	DET
cana-513	131	2	model	model	NOUN
cana-513	131	3	is	be	AUX
cana-513	131	4	fitted	fit	VERB
cana-513	131	5	to	to	ADP
cana-513	131	6	the	the	DET
cana-513	131	7	actual	actual	ADJ
cana-513	131	8	data	datum	NOUN
cana-513	131	9	collected	collect	VERB
cana-513	131	10	from	from	ADP
cana-513	131	11	yoga	yoga	NOUN
cana-513	131	12	c	c	NOUN
cana-513	131	13	enters	enter	NOUN
cana-513	131	14	.	.	PUNCT
cana-513	132	1	the	the	DET
cana-513	132	2	scale	scale	NOUN
cana-513	132	3	constant	constant	ADJ
cana-513	132	4	p	p	NOUN
cana-513	132	5	in	in	ADP
cana-513	132	6	the	the	DET
cana-513	132	7	yoga	yoga	NOUN
cana-513	132	8	awareness	awareness	NOUN
cana-513	132	9	term	term	NOUN
cana-513	132	10	is	be	AUX
cana-513	132	11	estimated	estimate	VERB
cana-513	132	12	by	by	ADP
cana-513	132	13	least	least	ADJ
cana-513	132	14	square	square	ADJ
cana-513	132	15	method	method	NOUN
cana-513	132	16	using	use	VERB
cana-513	132	17	mathematica	mathematica	PROPN
cana-513	132	18	software	software	PROPN
cana-513	132	19	.	.	PUNCT
cana-513	133	1	yoga	yoga	NOUN
cana-513	133	2	sadhaka	sadhaka	NOUN
cana-513	133	3	individuals	individual	NOUN
cana-513	133	4	conduct	conduct	VERB
cana-513	133	5	yoga	yoga	NOUN
cana-513	133	6	classes	class	NOUN
cana-513	133	7	and	and	CCONJ
cana-513	133	8	aware	aware	ADJ
cana-513	133	9	other	other	ADJ
cana-513	133	10	participants	participant	NOUN
cana-513	133	11	present	present	ADJ
cana-513	133	12	in	in	ADP
cana-513	133	13	the	the	DET
cana-513	133	14	class	class	NOUN
cana-513	133	15	.	.	PUNCT
cana-513	134	1	besides	besides	SCONJ
cana-513	134	2	yoga	yoga	NOUN
cana-513	134	3	pranayama	pranayama	NOUN
cana-513	134	4	,	,	PUNCT
cana-513	134	5	they	they	PRON
cana-513	134	6	change	change	VERB
cana-513	134	7	habits	habit	NOUN
cana-513	134	8	applying	apply	VERB
cana-513	134	9	awareness	awareness	NOUN
cana-513	134	10	aahar	aahar	NOUN
cana-513	134	11	,	,	PUNCT
cana-513	134	12	vihar	vihar	PROPN
cana-513	134	13	,	,	PUNCT
cana-513	134	14	aachar	aachar	NOUN
cana-513	134	15	and	and	CCONJ
cana-513	134	16	vichar	vichar	NOUN
cana-513	134	17	which	which	PRON
cana-513	134	18	we	we	PRON
cana-513	134	19	have	have	AUX
cana-513	134	20	already	already	ADV
cana-513	134	21	considered	consider	VERB
cana-513	134	22	as	as	ADP
cana-513	134	23	yoga	yoga	NOUN
cana-513	134	24	awareness	awareness	NOUN
cana-513	134	25	.	.	PUNCT
cana-513	135	1	the	the	DET
cana-513	135	2	rest	rest	NOUN
cana-513	135	3	of	of	ADP
cana-513	135	4	the	the	DET
cana-513	135	5	parameter	parameter	NOUN
cana-513	135	6	values	value	NOUN
cana-513	135	7	were	be	AUX
cana-513	135	8	fixed	fix	VERB
cana-513	135	9	as	as	SCONJ
cana-513	135	10	given	give	VERB
cana-513	135	11	in	in	ADP
cana-513	135	12	the	the	DET
cana-513	135	13	table	table	NOUN
cana-513	135	14	2	2	NUM
cana-513	135	15	.	.	PUNCT
cana-513	135	16	communications	communication	NOUN
cana-513	135	17	on	on	ADP
cana-513	135	18	applied	apply	VERB
cana-513	135	19	nonlinear	nonlinear	ADJ
cana-513	135	20	analysis	analysis	NOUN
cana-513	135	21	issn	issn	NOUN
cana-513	135	22	:	:	PUNCT
cana-513	135	23	1074	1074	NUM
cana-513	135	24	-	-	PUNCT
cana-513	135	25	133x	133x	NUM
cana-513	135	26	vol	vol	NOUN
cana-513	135	27	31	31	NUM
cana-513	135	28	no	no	NOUN
cana-513	135	29	.	.	NOUN
cana-513	135	30	2	2	NUM
cana-513	135	31	(	(	PUNCT
cana-513	135	32	2024	2024	NUM
cana-513	135	33	)	)	PUNCT
cana-513	136	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	136	2	62	62	NUM
cana-513	136	3	parameter	parameter	NOUN
cana-513	136	4	value	value	NOUN
cana-513	136	5	reference	reference	NOUN
cana-513	136	6	ra	ra	PROPN
cana-513	137	1	[	[	X
cana-513	137	2	0.5	0.5	NUM
cana-513	137	3	1.6	1.6	NUM
cana-513	137	4	]	]	PUNCT
cana-513	137	5	calculated	calculate	VERB
cana-513	137	6	β	β	X
cana-513	138	1	[	[	X
cana-513	138	2	0.05	0.05	NUM
cana-513	138	3	,	,	PUNCT
cana-513	138	4	1.6	1.6	NUM
cana-513	138	5	]	]	PUNCT
cana-513	138	6	[	[	X
cana-513	138	7	17	17	NUM
cana-513	138	8	]	]	X
cana-513	138	9	λ	λ	NOUN
cana-513	138	10	0.02	0.02	NUM
cana-513	138	11	[	[	X
cana-513	138	12	17	17	NUM
cana-513	138	13	]	]	X
cana-513	138	14	c	c	NOUN
cana-513	139	1	[	[	X
cana-513	139	2	0	0	NUM
cana-513	139	3	,	,	PUNCT
cana-513	139	4	1	1	NUM
cana-513	139	5	]	]	PUNCT
cana-513	139	6	assumed	assume	VERB
cana-513	139	7	γ	γ	X
cana-513	139	8	[	[	X
cana-513	139	9	0.05,0.99	0.05,0.99	X
cana-513	139	10	]	]	X
cana-513	140	1	[	[	X
cana-513	140	2	17	17	NUM
cana-513	140	3	]	]	X
cana-513	140	4	p	p	X
cana-513	140	5	0.0231	0.0231	NUM
cana-513	140	6	estimmated	estimmate	VERB
cana-513	140	7	µ	µ	PROPN
cana-513	140	8	0.05	0.05	NUM
cana-513	140	9	[	[	X
cana-513	140	10	17	17	NUM
cana-513	140	11	]	]	PUNCT
cana-513	140	12	table	table	NOUN
cana-513	140	13	2	2	NUM
cana-513	140	14	:	:	PUNCT
cana-513	140	15	estimated	estimate	VERB
cana-513	140	16	parametric	parametric	ADJ
cana-513	140	17	values	value	NOUN
cana-513	140	18	3	3	NUM
cana-513	140	19	dynamic	dynamic	ADJ
cana-513	140	20	behavior	behavior	NOUN
cana-513	140	21	of	of	ADP
cana-513	140	22	the	the	DET
cana-513	140	23	model	model	NOUN
cana-513	140	24	in	in	ADP
cana-513	140	25	this	this	DET
cana-513	140	26	section	section	NOUN
cana-513	140	27	,	,	PUNCT
cana-513	140	28	we	we	PRON
cana-513	140	29	calculate	calculate	VERB
cana-513	140	30	the	the	DET
cana-513	140	31	awareness	awareness	NOUN
cana-513	140	32	reproduction	reproduction	NOUN
cana-513	140	33	number	number	NOUN
cana-513	140	34	,	,	PUNCT
cana-513	140	35	feasible	feasible	ADJ
cana-513	140	36	steady	steady	ADJ
cana-513	140	37	states	state	NOUN
cana-513	140	38	and	and	CCONJ
cana-513	140	39	analyze	analyze	VERB
cana-513	140	40	the	the	DET
cana-513	140	41	stability	stability	NOUN
cana-513	140	42	of	of	ADP
cana-513	140	43	equilibria	equilibrium	NOUN
cana-513	140	44	for	for	ADP
cana-513	140	45	the	the	DET
cana-513	140	46	proposed	propose	VERB
cana-513	140	47	system	system	NOUN
cana-513	140	48	.	.	PUNCT
cana-513	141	1	the	the	DET
cana-513	141	2	biologically	biologically	ADV
cana-513	141	3	feasible	feasible	ADJ
cana-513	141	4	region	region	NOUN
cana-513	141	5	for	for	ADP
cana-513	141	6	the	the	DET
cana-513	141	7	nondimensional	nondimensional	ADJ
cana-513	141	8	system	system	NOUN
cana-513	141	9	is	be	AUX
cana-513	141	10	ω	ω	NOUN
cana-513	141	11	=	=	SYM
cana-513	141	12	{	{	PUNCT
cana-513	141	13	(	(	PUNCT
cana-513	141	14	s	s	X
cana-513	141	15	,	,	PUNCT
cana-513	141	16	i	i	PRON
cana-513	141	17	,	,	PUNCT
cana-513	141	18	r	r	NOUN
cana-513	141	19	)	)	PUNCT
cana-513	141	20	:	:	PUNCT
cana-513	142	1	0	0	NUM
cana-513	142	2	≤	≤	NUM
cana-513	142	3	s	s	X
cana-513	142	4	,	,	PUNCT
cana-513	142	5	i	i	PRON
cana-513	142	6	,	,	PUNCT
cana-513	142	7	r	r	NOUN
cana-513	142	8	≤	≤	NUM
cana-513	142	9	1	1	NUM
cana-513	142	10	}	}	PUNCT
cana-513	142	11	.	.	PUNCT
cana-513	143	1	3.1	3.1	NUM
cana-513	143	2	equilibrium	equilibrium	NOUN
cana-513	143	3	states	state	NOUN
cana-513	143	4	and	and	CCONJ
cana-513	143	5	awareness	awareness	NOUN
cana-513	143	6	reproduction	reproduction	NOUN
cana-513	143	7	number	number	NOUN
cana-513	143	8	for	for	ADP
cana-513	143	9	equilibrium	equilibrium	NOUN
cana-513	143	10	point	point	NOUN
cana-513	143	11	of	of	ADP
cana-513	143	12	the	the	DET
cana-513	143	13	model	model	NOUN
cana-513	143	14	(	(	PUNCT
cana-513	143	15	3	3	NUM
cana-513	143	16	)	)	PUNCT
cana-513	143	17	,	,	PUNCT
cana-513	143	18	we	we	PRON
cana-513	143	19	have	have	VERB
cana-513	143	20	∧	∧	NOUN
cana-513	143	21	−	−	PROPN
cana-513	144	1	βe−cm(t)si	βe−cm(t)si	PRON
cana-513	145	1	+	+	X
cana-513	145	2	λr−	λr−	PUNCT
cana-513	145	3	µs	µs	X
cana-513	145	4	=	=	NOUN
cana-513	145	5	0	0	PUNCT
cana-513	146	1	βe−cm(t)si	βe−cm(t)si	NUM
cana-513	146	2	−	−	PROPN
cana-513	147	1	µi	µi	INTJ
cana-513	147	2	−	−	PROPN
cana-513	147	3	γi	γi	NOUN
cana-513	147	4	=	=	SYM
cana-513	147	5	0	0	NUM
cana-513	147	6	(	(	PUNCT
cana-513	147	7	4	4	NUM
cana-513	147	8	)	)	PUNCT
cana-513	147	9	γi	γi	NOUN
cana-513	147	10	−	−	NOUN
cana-513	147	11	µr−	µr−	PUNCT
cana-513	147	12	λr	λr	NOUN
cana-513	147	13	=	=	SYM
cana-513	147	14	0	0	PROPN
cana-513	147	15	.	.	PUNCT
cana-513	148	1	the	the	DET
cana-513	148	2	system	system	NOUN
cana-513	148	3	(	(	PUNCT
cana-513	148	4	3	3	X
cana-513	148	5	)	)	PUNCT
cana-513	148	6	has	have	VERB
cana-513	148	7	two	two	NUM
cana-513	148	8	equilibrium	equilibrium	NOUN
cana-513	148	9	steady	steady	ADJ
cana-513	148	10	states	state	NOUN
cana-513	148	11	:	:	PUNCT
cana-513	148	12	disease	disease	NOUN
cana-513	148	13	free	free	ADJ
cana-513	148	14	equilibrium	equilibrium	NOUN
cana-513	148	15	(	(	PUNCT
cana-513	148	16	dfe	dfe	PROPN
cana-513	148	17	)	)	PUNCT
cana-513	148	18	e0	e0	PROPN
cana-513	148	19	=	=	PUNCT
cana-513	148	20	(	(	PUNCT
cana-513	148	21	1	1	NUM
cana-513	148	22	,	,	PUNCT
cana-513	148	23	0	0	NUM
cana-513	148	24	,	,	PUNCT
cana-513	148	25	0	0	NUM
cana-513	148	26	)	)	PUNCT
cana-513	148	27	and	and	CCONJ
cana-513	148	28	endemic	endemic	ADJ
cana-513	148	29	equilibrium(ee	equilibrium(ee	NOUN
cana-513	148	30	)	)	PUNCT
cana-513	148	31	e∗	e∗	NOUN
cana-513	148	32	=	=	SYM
cana-513	148	33	(	(	PUNCT
cana-513	148	34	s∗	s∗	PROPN
cana-513	148	35	,	,	PUNCT
cana-513	148	36	i∗	i∗	NOUN
cana-513	148	37	,	,	PUNCT
cana-513	148	38	r∗	r∗	PROPN
cana-513	148	39	)	)	PUNCT
cana-513	148	40	.	.	PUNCT
cana-513	149	1	now	now	ADV
cana-513	149	2	,	,	PUNCT
cana-513	149	3	we	we	PRON
cana-513	149	4	calculate	calculate	VERB
cana-513	149	5	the	the	DET
cana-513	149	6	reproduction	reproduction	NOUN
cana-513	149	7	number	number	NOUN
cana-513	149	8	by	by	ADP
cana-513	149	9	defining	define	VERB
cana-513	149	10	the	the	DET
cana-513	149	11	threshold	threshold	NOUN
cana-513	149	12	r	r	NOUN
cana-513	149	13	a	a	PRON
cana-513	149	14	as	as	SCONJ
cana-513	149	15	the	the	DET
cana-513	149	16	average	average	ADJ
cana-513	149	17	number	number	NOUN
cana-513	149	18	of	of	ADP
cana-513	149	19	secondary	secondary	ADJ
cana-513	149	20	infections	infection	NOUN
cana-513	149	21	produced	produce	VERB
cana-513	149	22	when	when	SCONJ
cana-513	149	23	one	one	NUM
cana-513	149	24	primarily	primarily	ADV
cana-513	149	25	infected	infect	VERB
cana-513	149	26	person	person	NOUN
cana-513	149	27	is	be	AUX
cana-513	149	28	entered	enter	VERB
cana-513	149	29	into	into	ADP
cana-513	149	30	susceptible	susceptible	ADJ
cana-513	149	31	aware	aware	ADJ
cana-513	149	32	population	population	NOUN
cana-513	149	33	.	.	PUNCT
cana-513	150	1	the	the	DET
cana-513	150	2	number	number	NOUN
cana-513	150	3	ra	ra	PROPN
cana-513	150	4	is	be	AUX
cana-513	150	5	called	call	VERB
cana-513	150	6	the	the	DET
cana-513	150	7	awareness	awareness	NOUN
cana-513	150	8	reproduction	reproduction	NOUN
cana-513	150	9	number	number	NOUN
cana-513	150	10	.	.	PUNCT
cana-513	151	1	here	here	ADV
cana-513	151	2	,	,	PUNCT
cana-513	151	3	we	we	PRON
cana-513	151	4	are	be	AUX
cana-513	151	5	using	use	VERB
cana-513	151	6	the	the	DET
cana-513	151	7	term	term	NOUN
cana-513	151	8	‘	'	PUNCT
cana-513	151	9	awareness	awareness	NOUN
cana-513	151	10	reproduction	reproduction	NOUN
cana-513	151	11	number	number	NOUN
cana-513	151	12	’	'	PUNCT
cana-513	151	13	for	for	ADP
cana-513	151	14	the	the	DET
cana-513	151	15	threshold	threshold	NOUN
cana-513	151	16	,	,	PUNCT
cana-513	151	17	because	because	SCONJ
cana-513	151	18	in	in	ADP
cana-513	151	19	the	the	DET
cana-513	151	20	model	model	NOUN
cana-513	151	21	awareness	awareness	NOUN
cana-513	151	22	process	process	NOUN
cana-513	151	23	is	be	AUX
cana-513	151	24	used	use	VERB
cana-513	151	25	to	to	PART
cana-513	151	26	control	control	VERB
cana-513	151	27	the	the	DET
cana-513	151	28	disease	disease	NOUN
cana-513	151	29	.	.	PUNCT
cana-513	152	1	it	it	PRON
cana-513	152	2	is	be	AUX
cana-513	152	3	one	one	NUM
cana-513	152	4	of	of	ADP
cana-513	152	5	the	the	DET
cana-513	152	6	most	most	ADV
cana-513	152	7	useful	useful	ADJ
cana-513	152	8	parameters	parameter	NOUN
cana-513	152	9	that	that	PRON
cana-513	152	10	tells	tell	VERB
cana-513	152	11	us	we	PRON
cana-513	152	12	about	about	ADP
cana-513	152	13	infection	infection	NOUN
cana-513	152	14	situation	situation	NOUN
cana-513	152	15	(	(	PUNCT
cana-513	152	16	eliminated	eliminate	VERB
cana-513	152	17	or	or	CCONJ
cana-513	152	18	survived	survive	VERB
cana-513	152	19	)	)	PUNCT
cana-513	152	20	in	in	ADP
cana-513	152	21	communications	communication	NOUN
cana-513	152	22	on	on	ADP
cana-513	152	23	applied	apply	VERB
cana-513	152	24	nonlinear	nonlinear	ADJ
cana-513	152	25	analysis	analysis	NOUN
cana-513	152	26	issn	issn	NOUN
cana-513	152	27	:	:	PUNCT
cana-513	152	28	1074	1074	NUM
cana-513	152	29	-	-	PUNCT
cana-513	152	30	133x	133x	NUM
cana-513	152	31	vol	vol	NOUN
cana-513	152	32	31	31	NUM
cana-513	152	33	no	no	NOUN
cana-513	152	34	.	.	NOUN
cana-513	152	35	2	2	NUM
cana-513	152	36	(	(	PUNCT
cana-513	152	37	2024	2024	NUM
cana-513	152	38	)	)	PUNCT
cana-513	152	39	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	152	40	63	63	NUM
cana-513	152	41	the	the	DET
cana-513	152	42	population	population	NOUN
cana-513	152	43	.	.	PUNCT
cana-513	153	1	we	we	PRON
cana-513	153	2	will	will	AUX
cana-513	153	3	find	find	VERB
cana-513	153	4	the	the	DET
cana-513	153	5	expression	expression	NOUN
cana-513	153	6	for	for	ADP
cana-513	153	7	ra	ra	PROPN
cana-513	153	8	by	by	ADP
cana-513	153	9	using	use	VERB
cana-513	153	10	next	next	ADJ
cana-513	153	11	generation	generation	NOUN
cana-513	153	12	matrix	matrix	NOUN
cana-513	153	13	.	.	PUNCT
cana-513	154	1	let	let	VERB
cana-513	154	2	x	x	PUNCT
cana-513	154	3	=	=	SYM
cana-513	154	4	(	(	PUNCT
cana-513	154	5	s	s	PROPN
cana-513	154	6	,	,	PUNCT
cana-513	154	7	i	i	PRON
cana-513	154	8	,	,	PUNCT
cana-513	154	9	r	r	NOUN
cana-513	154	10	)	)	PUNCT
cana-513	154	11	.	.	PUNCT
cana-513	155	1	therefore	therefore	ADV
cana-513	155	2	,	,	PUNCT
cana-513	155	3	dx	dx	PROPN
cana-513	155	4	dt	dt	PROPN
cana-513	156	1	=	=	PUNCT
cana-513	156	2	f	f	PROPN
cana-513	156	3	−	−	NOUN
cana-513	156	4	v	v	INTJ
cana-513	157	1	where	where	SCONJ
cana-513	157	2	f	f	NOUN
cana-513	157	3	=	=	PUNCT
cana-513	157	4			NOUN
cana-513	157	5	0	0	NUM
cana-513	158	1	β1si	β1si	SYM
cana-513	158	2	0	0	NUM
cana-513	158	3			NUM
cana-513	158	4	v	v	NOUN
cana-513	158	5	=	=	NOUN
cana-513	158	6			NOUN
cana-513	158	7	−λ	−λ	NOUN
cana-513	158	8	+	+	X
cana-513	158	9	β1si	β1si	PUNCT
cana-513	158	10	−	−	NOUN
cana-513	158	11	λr+	λr+	VERB
cana-513	158	12	µs	µs	ADP
cana-513	158	13	µi	µi	PROPN
cana-513	158	14	+	+	CCONJ
cana-513	158	15	γi	γi	X
cana-513	158	16	−γi	−γi	NOUN
cana-513	158	17	+	+	CCONJ
cana-513	158	18	µr+	µr+	ADV
cana-513	158	19	λr	λr	ADP
cana-513	158	20			NOUN
cana-513	158	21	at	at	ADP
cana-513	158	22	disease	disease	NOUN
cana-513	158	23	free	free	ADJ
cana-513	158	24	equilibrium	equilibrium	NOUN
cana-513	158	25	,	,	PUNCT
cana-513	158	26	variation	variation	NOUN
cana-513	158	27	matrices	matrix	NOUN
cana-513	158	28	of	of	ADP
cana-513	158	29	f	f	PROPN
cana-513	158	30	and	and	CCONJ
cana-513	158	31	v	v	NOUN
cana-513	158	32	are	be	AUX
cana-513	158	33	given	give	VERB
cana-513	158	34	by	by	ADP
cana-513	158	35	f0	f0	ADJ
cana-513	158	36	=	=	NOUN
cana-513	158	37			NOUN
cana-513	158	38	0	0	NUM
cana-513	158	39	0	0	NUM
cana-513	158	40	0	0	NUM
cana-513	158	41	0	0	NUM
cana-513	158	42	β1s	β1s	SYM
cana-513	158	43	0	0	NUM
cana-513	158	44	0	0	NUM
cana-513	158	45	0	0	NUM
cana-513	158	46	0	0	NUM
cana-513	158	47			NOUN
cana-513	158	48	v0	v0	NOUN
cana-513	158	49	=	=	SYM
cana-513	158	50			NOUN
cana-513	158	51	µ	µ	X
cana-513	158	52	β1s	β1s	PUNCT
cana-513	158	53	−λ	−λ	PROPN
cana-513	158	54	0	0	NUM
cana-513	158	55	µ+	µ+	PUNCT
cana-513	158	56	γ	γ	X
cana-513	158	57	0	0	NUM
cana-513	158	58	0	0	NUM
cana-513	158	59	−γ	−γ	NOUN
cana-513	158	60	λ	λ	X
cana-513	158	61			NOUN
cana-513	158	62	the	the	DET
cana-513	158	63	next	next	ADJ
cana-513	158	64	generation	generation	NOUN
cana-513	158	65	matrix	matrix	NOUN
cana-513	158	66	for	for	ADP
cana-513	158	67	the	the	DET
cana-513	158	68	model	model	NOUN
cana-513	158	69	equation	equation	NOUN
cana-513	158	70	(	(	PUNCT
cana-513	158	71	3	3	X
cana-513	158	72	)	)	PUNCT
cana-513	158	73	is	be	AUX
cana-513	158	74	f0v	f0v	NUM
cana-513	158	75	−1	−1	NOUN
cana-513	158	76	0	0	PUNCT
cana-513	158	77	=	=	NOUN
cana-513	159	1			ADJ
cana-513	159	2	0	0	NUM
cana-513	159	3	0	0	NUM
cana-513	159	4	0	0	NUM
cana-513	159	5	0	0	NUM
cana-513	159	6	β1s	β1s	PUNCT
cana-513	159	7	µ+γ	µ+γ	NUM
cana-513	159	8	0	0	NUM
cana-513	159	9	0	0	NUM
cana-513	159	10	0	0	NUM
cana-513	159	11	0	0	NUM
cana-513	159	12			NOUN
cana-513	159	13	the	the	DET
cana-513	159	14	spectral	spectral	ADJ
cana-513	159	15	radius	radius	NOUN
cana-513	159	16	of	of	ADP
cana-513	159	17	the	the	DET
cana-513	159	18	matrix	matrix	NOUN
cana-513	159	19	f0v	f0v	NUM
cana-513	159	20	−1	−1	NOUN
cana-513	159	21	0	0	NUM
cana-513	159	22	gives	give	VERB
cana-513	159	23	expression	expression	NOUN
cana-513	159	24	ra	ra	PROPN
cana-513	159	25	.	.	PUNCT
cana-513	160	1	awareness	awareness	NOUN
cana-513	160	2	reproduction	reproduction	NOUN
cana-513	160	3	number	number	NOUN
cana-513	160	4	is	be	AUX
cana-513	160	5	ra	ra	PROPN
cana-513	160	6	=	=	SYM
cana-513	160	7	β1	β1	PROPN
cana-513	160	8	(	(	PUNCT
cana-513	160	9	γ+µ	γ+µ	NOUN
cana-513	160	10	)	)	PUNCT
cana-513	160	11	=	=	SYM
cana-513	161	1	βe−cm	βe−cm	PUNCT
cana-513	161	2	(	(	PUNCT
cana-513	161	3	γ+µ	γ+µ	NOUN
cana-513	161	4	)	)	PUNCT
cana-513	161	5	=	=	SYM
cana-513	161	6	r0	r0	NOUN
cana-513	161	7	ecm	ecm	NOUN
cana-513	161	8	now	now	ADV
cana-513	161	9	,	,	PUNCT
cana-513	161	10	solving	solve	VERB
cana-513	161	11	(	(	PUNCT
cana-513	161	12	4	4	NUM
cana-513	161	13	)	)	PUNCT
cana-513	161	14	,	,	PUNCT
cana-513	161	15	we	we	PRON
cana-513	161	16	obtain	obtain	VERB
cana-513	161	17	a	a	DET
cana-513	161	18	unique	unique	ADJ
cana-513	161	19	positive	positive	ADJ
cana-513	161	20	equilibrium	equilibrium	NOUN
cana-513	161	21	known	know	VERB
cana-513	161	22	as	as	ADP
cana-513	161	23	endemic	endemic	ADJ
cana-513	161	24	equilibrium	equilibrium	NOUN
cana-513	161	25	point	point	NOUN
cana-513	161	26	,	,	PUNCT
cana-513	161	27	e0	e0	PROPN
cana-513	161	28	=	=	PUNCT
cana-513	161	29	(	(	PUNCT
cana-513	161	30	s∗	s∗	PROPN
cana-513	161	31	,	,	PUNCT
cana-513	161	32	i∗	i∗	NOUN
cana-513	161	33	,	,	PUNCT
cana-513	161	34	r∗	r∗	PROPN
cana-513	161	35	)	)	PUNCT
cana-513	161	36	.	.	PUNCT
cana-513	162	1	from	from	ADP
cana-513	162	2	system	system	NOUN
cana-513	162	3	(	(	PUNCT
cana-513	162	4	4	4	NUM
cana-513	162	5	)	)	PUNCT
cana-513	162	6	,	,	PUNCT
cana-513	162	7	we	we	PRON
cana-513	162	8	get	get	VERB
cana-513	162	9	,	,	PUNCT
cana-513	162	10	communications	communication	NOUN
cana-513	162	11	on	on	ADP
cana-513	162	12	applied	apply	VERB
cana-513	162	13	nonlinear	nonlinear	ADJ
cana-513	162	14	analysis	analysis	NOUN
cana-513	162	15	issn	issn	NOUN
cana-513	162	16	:	:	PUNCT
cana-513	162	17	1074	1074	NUM
cana-513	162	18	-	-	PUNCT
cana-513	162	19	133x	133x	NUM
cana-513	162	20	vol	vol	NOUN
cana-513	162	21	31	31	NUM
cana-513	162	22	no	no	NOUN
cana-513	162	23	.	.	NOUN
cana-513	162	24	2	2	NUM
cana-513	162	25	(	(	PUNCT
cana-513	162	26	2024	2024	NUM
cana-513	162	27	)	)	PUNCT
cana-513	162	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	162	29	64	64	NUM
cana-513	162	30	r∗	r∗	NOUN
cana-513	162	31	=	=	PUNCT
cana-513	162	32	γi∗	γi∗	VERB
cana-513	162	33	λ+µ	λ+µ	PRON
cana-513	162	34	.	.	PUNCT
cana-513	163	1	s∗	s∗	PROPN
cana-513	163	2	=	=	SYM
cana-513	163	3	(	(	PUNCT
cana-513	163	4	γ+µ)ecm	γ+µ)ecm	X
cana-513	163	5	β	β	X
cana-513	163	6	=	=	SYM
cana-513	163	7	ecm	ecm	NOUN
cana-513	163	8	r0	r0	NOUN
cana-513	163	9	m∗	m∗	NOUN
cana-513	163	10	=	=	SYM
cana-513	163	11	ln	ln	ADJ
cana-513	163	12	(	(	PUNCT
cana-513	163	13	s∗β	s∗β	NUM
cana-513	163	14	γ+µ	γ+µ	NUM
cana-513	163	15	)	)	PUNCT
cana-513	163	16	c	c	NOUN
cana-513	163	17	=	=	SYM
cana-513	163	18	ln(s∗r0	ln(s∗r0	NOUN
cana-513	163	19	)	)	PUNCT
cana-513	163	20	c	c	NOUN
cana-513	163	21	also	also	ADV
cana-513	163	22	,	,	PUNCT
cana-513	163	23	s∗	s∗	PROPN
cana-513	163	24	=	=	SYM
cana-513	163	25	1−	1−	NUM
cana-513	163	26	i∗	i∗	NOUN
cana-513	163	27	−r∗	−r∗	NOUN
cana-513	163	28	and	and	CCONJ
cana-513	163	29	the	the	DET
cana-513	163	30	value	value	NOUN
cana-513	163	31	of	of	ADP
cana-513	163	32	i∗	i∗	NOUN
cana-513	163	33	is	be	AUX
cana-513	163	34	given	give	VERB
cana-513	163	35	by	by	ADP
cana-513	163	36	ecm	ecm	NOUN
cana-513	163	37	∗	∗	NOUN
cana-513	163	38	r0	r0	NOUN
cana-513	163	39	=	=	SYM
cana-513	163	40	1−	1−	NUM
cana-513	163	41	(	(	PUNCT
cana-513	163	42	1	1	NUM
cana-513	163	43	+	+	CCONJ
cana-513	163	44	γ	γ	NOUN
cana-513	163	45	λ+	λ+	NOUN
cana-513	163	46	µ	µ	X
cana-513	163	47	)	)	PUNCT
cana-513	163	48	i∗	i∗	NOUN
cana-513	163	49	(	(	PUNCT
cana-513	163	50	5	5	NUM
cana-513	163	51	)	)	PUNCT
cana-513	163	52	i∗	i∗	NOUN
cana-513	163	53	=	=	PUNCT
cana-513	163	54	λ+	λ+	PUNCT
cana-513	163	55	µ	µ	X
cana-513	163	56	γ	γ	X
cana-513	163	57	+	+	CCONJ
cana-513	163	58	λ+	λ+	X
cana-513	163	59	µ	µ	X
cana-513	163	60	(	(	PUNCT
cana-513	163	61	1−	1−	NUM
cana-513	163	62	γ	γ	X
cana-513	163	63	+	+	X
cana-513	163	64	µ	µ	X
cana-513	163	65	β	β	X
cana-513	163	66	ecm	ecm	NOUN
cana-513	163	67	)	)	PUNCT
cana-513	164	1	=	=	PUNCT
cana-513	164	2	λ+	λ+	PUNCT
cana-513	164	3	µ	µ	X
cana-513	164	4	λ+	λ+	PUNCT
cana-513	164	5	µ+	µ+	X
cana-513	164	6	γ	γ	X
cana-513	164	7	(	(	PUNCT
cana-513	164	8	1−	1−	NUM
cana-513	164	9	ecm	ecm	PROPN
cana-513	164	10	r0	r0	NOUN
cana-513	164	11	)	)	PUNCT
cana-513	164	12	=	=	PUNCT
cana-513	165	1	λ+	λ+	PUNCT
cana-513	165	2	µ	µ	X
cana-513	165	3	λ+	λ+	PUNCT
cana-513	165	4	µ+	µ+	X
cana-513	165	5	γ	γ	X
cana-513	165	6	(	(	PUNCT
cana-513	165	7	1−	1−	NUM
cana-513	165	8	1	1	NUM
cana-513	165	9	ra	ra	NOUN
cana-513	165	10	)	)	PUNCT
cana-513	165	11	if	if	SCONJ
cana-513	165	12	there	there	PRON
cana-513	165	13	is	be	VERB
cana-513	165	14	no	no	DET
cana-513	165	15	yoga	yoga	NOUN
cana-513	165	16	awareness	awareness	NOUN
cana-513	165	17	effect	effect	NOUN
cana-513	165	18	,	,	PUNCT
cana-513	165	19	i.e.	i.e.	X
cana-513	165	20	,	,	PUNCT
cana-513	165	21	c	c	NOUN
cana-513	165	22	=	=	SYM
cana-513	165	23	0	0	PROPN
cana-513	165	24	,	,	PUNCT
cana-513	165	25	then	then	ADV
cana-513	165	26	i∗	i∗	NOUN
cana-513	165	27	=	=	PUNCT
cana-513	165	28	λ+µ	λ+µ	X
cana-513	165	29	γ+λ+µ	γ+λ+µ	X
cana-513	165	30	(	(	PUNCT
cana-513	165	31	1−	1−	NUM
cana-513	165	32	γ+µ	γ+µ	X
cana-513	165	33	β	β	X
cana-513	165	34	)	)	PUNCT
cana-513	166	1	=	=	PUNCT
cana-513	166	2	(	(	PUNCT
cana-513	166	3	λ+µ	λ+µ	X
cana-513	166	4	λ+µ+γ	λ+µ+γ	NOUN
cana-513	166	5	)	)	PUNCT
cana-513	166	6	(	(	PUNCT
cana-513	166	7	1−	1−	NUM
cana-513	166	8	1	1	NUM
cana-513	166	9	r0	r0	NOUN
cana-513	166	10	)	)	PUNCT
cana-513	166	11	clearly	clearly	ADV
cana-513	166	12	,	,	PUNCT
cana-513	166	13	i∗	i∗	NOUN
cana-513	166	14	exists	exist	VERB
cana-513	166	15	if	if	SCONJ
cana-513	166	16	and	and	CCONJ
cana-513	166	17	only	only	ADV
cana-513	166	18	if	if	SCONJ
cana-513	166	19	ra	ra	PROPN
cana-513	166	20	>	>	X
cana-513	166	21	1	1	X
cana-513	166	22	.	.	PUNCT
cana-513	167	1	the	the	DET
cana-513	167	2	endemic	endemic	ADJ
cana-513	167	3	equilibrium	equilibrium	NOUN
cana-513	167	4	does	do	AUX
cana-513	167	5	not	not	PART
cana-513	167	6	exist	exist	VERB
cana-513	167	7	for	for	ADP
cana-513	167	8	ra	ra	PROPN
cana-513	167	9	≤	≤	NOUN
cana-513	167	10	1	1	NUM
cana-513	167	11	and	and	CCONJ
cana-513	167	12	exists	exist	VERB
cana-513	167	13	for	for	ADP
cana-513	167	14	ra	ra	PROPN
cana-513	167	15	>	>	X
cana-513	168	1	1	1	X
cana-513	168	2	.	.	PUNCT
cana-513	168	3	also	also	ADV
cana-513	168	4	,	,	PUNCT
cana-513	168	5	in	in	ADP
cana-513	168	6	presence	presence	NOUN
cana-513	168	7	of	of	ADP
cana-513	168	8	yoga	yoga	NOUN
cana-513	168	9	awareness	awareness	NOUN
cana-513	168	10	,	,	PUNCT
cana-513	168	11	endemic	endemic	ADJ
cana-513	168	12	equilibrium	equilibrium	NOUN
cana-513	168	13	does	do	AUX
cana-513	168	14	not	not	PART
cana-513	168	15	exist	exist	VERB
cana-513	168	16	for	for	ADP
cana-513	168	17	ra	ra	PROPN
cana-513	168	18	<	<	X
cana-513	168	19	1	1	NUM
cana-513	168	20	which	which	PRON
cana-513	168	21	is	be	AUX
cana-513	168	22	shown	show	VERB
cana-513	168	23	in	in	ADP
cana-513	168	24	the	the	DET
cana-513	168	25	figure	figure	NOUN
cana-513	168	26	2	2	NUM
cana-513	168	27	.	.	PUNCT
cana-513	169	1	but	but	CCONJ
cana-513	169	2	endemic	endemic	ADJ
cana-513	169	3	equilibrium	equilibrium	NOUN
cana-513	169	4	exists	exist	VERB
cana-513	169	5	for	for	ADP
cana-513	169	6	ra	ra	PROPN
cana-513	169	7	>	>	X
cana-513	169	8	1	1	NUM
cana-513	169	9	which	which	PRON
cana-513	169	10	is	be	AUX
cana-513	169	11	shown	show	VERB
cana-513	169	12	in	in	ADP
cana-513	169	13	the	the	DET
cana-513	169	14	figure	figure	NOUN
cana-513	169	15	3	3	NUM
cana-513	169	16	.	.	NOUN
cana-513	169	17	0.2	0.2	NUM
cana-513	169	18	0.4	0.4	NUM
cana-513	169	19	0.6	0.6	NUM
cana-513	169	20	0.8	0.8	NUM
cana-513	169	21	1.0	1.0	NUM
cana-513	169	22	-1	-1	SYM
cana-513	169	23	1	1	NUM
cana-513	169	24	2	2	NUM
cana-513	169	25	figure	figure	NOUN
cana-513	169	26	2	2	NUM
cana-513	169	27	:	:	PUNCT
cana-513	169	28	non	non	ADJ
cana-513	169	29	-	-	NOUN
cana-513	169	30	existence	existence	NOUN
cana-513	169	31	of	of	ADP
cana-513	169	32	endemic	endemic	ADJ
cana-513	169	33	equilibrium	equilibrium	NOUN
cana-513	169	34	for	for	ADP
cana-513	169	35	parametric	parametric	ADJ
cana-513	169	36	values	value	NOUN
cana-513	169	37	β	β	X
cana-513	169	38	=	=	NOUN
cana-513	169	39	0.08	0.08	NUM
cana-513	169	40	,	,	PUNCT
cana-513	169	41	γ	γ	X
cana-513	169	42	=	=	SYM
cana-513	169	43	0.3	0.3	NUM
cana-513	169	44	,	,	PUNCT
cana-513	169	45	λ	λ	X
cana-513	169	46	=	=	NOUN
cana-513	169	47	0.02	0.02	NUM
cana-513	169	48	,	,	PUNCT
cana-513	169	49	µ	µ	X
cana-513	169	50	=	=	SYM
cana-513	169	51	0.05	0.05	NUM
cana-513	169	52	,	,	PUNCT
cana-513	169	53	ra	ra	PROPN
cana-513	169	54	<	<	X
cana-513	169	55	1	1	NUM
cana-513	169	56	,	,	PUNCT
cana-513	169	57	where	where	SCONJ
cana-513	169	58	blue	blue	ADJ
cana-513	169	59	color	color	NOUN
cana-513	169	60	represents	represent	VERB
cana-513	169	61	ecm	ecm	NOUN
cana-513	169	62	r0	r0	NOUN
cana-513	169	63	and	and	CCONJ
cana-513	169	64	pink	pink	ADJ
cana-513	169	65	color	color	NOUN
cana-513	169	66	represents	represent	VERB
cana-513	169	67	the	the	DET
cana-513	169	68	curve	curve	NOUN
cana-513	169	69	1−	1−	NUM
cana-513	169	70	(	(	PUNCT
cana-513	169	71	1	1	NUM
cana-513	169	72	+	+	CCONJ
cana-513	169	73	γ	γ	X
cana-513	169	74	λ+µ)i	λ+µ)i	X
cana-513	169	75	∗.	∗.	PROPN
cana-513	169	76	3.2	3.2	NUM
cana-513	169	77	stability	stability	NOUN
cana-513	169	78	analysis	analysis	NOUN
cana-513	169	79	in	in	ADP
cana-513	169	80	this	this	DET
cana-513	169	81	section	section	NOUN
cana-513	169	82	,	,	PUNCT
cana-513	169	83	local	local	ADJ
cana-513	169	84	and	and	CCONJ
cana-513	169	85	global	global	ADJ
cana-513	169	86	stability	stability	NOUN
cana-513	169	87	analysis	analysis	NOUN
cana-513	169	88	of	of	ADP
cana-513	169	89	the	the	DET
cana-513	169	90	model	model	NOUN
cana-513	169	91	is	be	AUX
cana-513	169	92	established	establish	VERB
cana-513	169	93	.	.	PUNCT
cana-513	170	1	communications	communication	NOUN
cana-513	170	2	on	on	ADP
cana-513	170	3	applied	apply	VERB
cana-513	170	4	nonlinear	nonlinear	ADJ
cana-513	170	5	analysis	analysis	NOUN
cana-513	170	6	issn	issn	NOUN
cana-513	170	7	:	:	PUNCT
cana-513	170	8	1074	1074	NUM
cana-513	170	9	-	-	PUNCT
cana-513	170	10	133x	133x	NUM
cana-513	170	11	vol	vol	NOUN
cana-513	170	12	31	31	NUM
cana-513	170	13	no	no	NOUN
cana-513	170	14	.	.	NOUN
cana-513	170	15	2	2	NUM
cana-513	170	16	(	(	PUNCT
cana-513	170	17	2024	2024	NUM
cana-513	170	18	)	)	PUNCT
cana-513	171	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	171	2	65	65	NUM
cana-513	171	3	0.2	0.2	NUM
cana-513	171	4	0.4	0.4	NUM
cana-513	171	5	0.6	0.6	NUM
cana-513	171	6	0.8	0.8	NUM
cana-513	171	7	1.0	1.0	NUM
cana-513	171	8	-1.5	-1.5	PUNCT
cana-513	171	9	-1.0	-1.0	PROPN
cana-513	171	10	-0.5	-0.5	NUM
cana-513	171	11	0.5	0.5	NUM
cana-513	171	12	1.0	1.0	NUM
cana-513	171	13	figure	figure	NOUN
cana-513	171	14	3	3	NUM
cana-513	171	15	:	:	PUNCT
cana-513	171	16	existence	existence	NOUN
cana-513	171	17	of	of	ADP
cana-513	171	18	endemic	endemic	ADJ
cana-513	171	19	equilibrium	equilibrium	NOUN
cana-513	171	20	for	for	ADP
cana-513	171	21	parametric	parametric	ADJ
cana-513	171	22	values	value	NOUN
cana-513	171	23	β	β	X
cana-513	171	24	=	=	SYM
cana-513	171	25	0.8	0.8	NUM
cana-513	171	26	,	,	PUNCT
cana-513	171	27	γ	γ	X
cana-513	171	28	=	=	SYM
cana-513	171	29	0.3	0.3	NUM
cana-513	171	30	,	,	PUNCT
cana-513	171	31	λ	λ	X
cana-513	171	32	=	=	NOUN
cana-513	171	33	0.02	0.02	NUM
cana-513	171	34	,	,	PUNCT
cana-513	171	35	µ	µ	X
cana-513	171	36	=	=	SYM
cana-513	171	37	0.05	0.05	NUM
cana-513	171	38	,	,	PUNCT
cana-513	171	39	ra	ra	PROPN
cana-513	171	40	>	>	X
cana-513	171	41	1	1	NUM
cana-513	171	42	,	,	PUNCT
cana-513	171	43	where	where	SCONJ
cana-513	171	44	blue	blue	ADJ
cana-513	171	45	color	color	NOUN
cana-513	171	46	represents	represent	VERB
cana-513	171	47	ecm	ecm	NOUN
cana-513	171	48	r0	r0	NOUN
cana-513	171	49	and	and	CCONJ
cana-513	171	50	pink	pink	ADJ
cana-513	171	51	color	color	NOUN
cana-513	171	52	represents	represent	VERB
cana-513	171	53	the	the	DET
cana-513	171	54	curve	curve	NOUN
cana-513	171	55	1−	1−	NUM
cana-513	171	56	(	(	PUNCT
cana-513	171	57	1	1	NUM
cana-513	171	58	+	+	CCONJ
cana-513	171	59	γ	γ	X
cana-513	171	60	λ+µ)i	λ+µ)i	X
cana-513	171	61	∗.	∗.	PROPN
cana-513	171	62	3.2.1	3.2.1	NUM
cana-513	171	63	local	local	ADJ
cana-513	171	64	stability	stability	NOUN
cana-513	171	65	analysis	analysis	NOUN
cana-513	171	66	theorem	theorem	VERB
cana-513	171	67	3.1	3.1	NUM
cana-513	171	68	.	.	PUNCT
cana-513	172	1	the	the	DET
cana-513	172	2	disease	disease	NOUN
cana-513	172	3	free	free	ADJ
cana-513	172	4	equilibrium	equilibrium	NOUN
cana-513	172	5	(	(	PUNCT
cana-513	172	6	dfe	dfe	PROPN
cana-513	172	7	)	)	PUNCT
cana-513	172	8	e0	e0	PROPN
cana-513	172	9	is	be	AUX
cana-513	172	10	(	(	PUNCT
cana-513	172	11	i	i	NOUN
cana-513	172	12	)	)	PUNCT
cana-513	172	13	locally	locally	ADV
cana-513	172	14	asymptotically	asymptotically	ADV
cana-513	172	15	stable	stable	ADJ
cana-513	172	16	,	,	PUNCT
cana-513	172	17	if	if	SCONJ
cana-513	172	18	ra	ra	PROPN
cana-513	172	19	<	<	X
cana-513	172	20	1	1	NUM
cana-513	172	21	and	and	CCONJ
cana-513	172	22	(	(	PUNCT
cana-513	172	23	ii	ii	NOUN
cana-513	172	24	)	)	PUNCT
cana-513	172	25	unstable	unstable	ADJ
cana-513	172	26	,	,	PUNCT
cana-513	172	27	if	if	SCONJ
cana-513	172	28	ra	ra	PROPN
cana-513	172	29	>	>	X
cana-513	172	30	1	1	NUM
cana-513	172	31	(	(	PUNCT
cana-513	172	32	iii	iii	NOUN
cana-513	172	33	)	)	PUNCT
cana-513	172	34	population	population	NOUN
cana-513	172	35	is	be	AUX
cana-513	172	36	disease	disease	NOUN
cana-513	172	37	free	free	ADJ
cana-513	172	38	when	when	SCONJ
cana-513	172	39	ra	ra	PROPN
cana-513	172	40	=	=	NOUN
cana-513	172	41	1	1	X
cana-513	172	42	.	.	PUNCT
cana-513	172	43	proof	proof	NOUN
cana-513	172	44	.	.	PUNCT
cana-513	173	1	the	the	DET
cana-513	173	2	variation	variation	NOUN
cana-513	173	3	matrix	matrix	NOUN
cana-513	173	4	for	for	ADP
cana-513	173	5	dfe	dfe	PROPN
cana-513	173	6	is	be	AUX
cana-513	173	7	given	give	VERB
cana-513	173	8	by	by	ADP
cana-513	173	9	v	v	PROPN
cana-513	173	10	(	(	PUNCT
cana-513	173	11	e0	e0	PROPN
cana-513	173	12	)	)	PUNCT
cana-513	174	1	=	=	PUNCT
cana-513	174	2			PROPN
cana-513	174	3	−µ	−µ	ADV
cana-513	174	4	−β	−β	PROPN
cana-513	174	5	λ	λ	PROPN
cana-513	174	6	0	0	PUNCT
cana-513	174	7	β	β	NOUN
cana-513	174	8	−	−	PROPN
cana-513	174	9	γ	γ	X
cana-513	174	10	−	−	PROPN
cana-513	174	11	µ	µ	NOUN
cana-513	174	12	0	0	NUM
cana-513	174	13	0	0	NUM
cana-513	174	14	γ	γ	PROPN
cana-513	174	15	−λ−	−λ−	X
cana-513	174	16	µ	µ	X
cana-513	174	17			NOUN
cana-513	174	18	if	if	SCONJ
cana-513	174	19	i	i	PRON
cana-513	174	20	is	be	AUX
cana-513	174	21	identity	identity	NOUN
cana-513	174	22	matrix	matrix	NOUN
cana-513	174	23	of	of	ADP
cana-513	174	24	order	order	NOUN
cana-513	174	25	three	three	NUM
cana-513	174	26	and	and	CCONJ
cana-513	174	27	k	k	PROPN
cana-513	174	28	is	be	AUX
cana-513	174	29	scalar	scalar	ADJ
cana-513	174	30	,	,	PUNCT
cana-513	174	31	then	then	ADV
cana-513	174	32	the	the	DET
cana-513	174	33	characteristic	characteristic	ADJ
cana-513	174	34	equation	equation	NOUN
cana-513	174	35	of	of	ADP
cana-513	174	36	v	v	PROPN
cana-513	174	37	(	(	PUNCT
cana-513	174	38	e0	e0	PROPN
cana-513	174	39	)	)	PUNCT
cana-513	174	40	is	be	AUX
cana-513	174	41	communications	communication	NOUN
cana-513	174	42	on	on	ADP
cana-513	174	43	applied	apply	VERB
cana-513	174	44	nonlinear	nonlinear	ADJ
cana-513	174	45	analysis	analysis	NOUN
cana-513	174	46	issn	issn	NOUN
cana-513	174	47	:	:	PUNCT
cana-513	174	48	1074	1074	NUM
cana-513	174	49	-	-	PUNCT
cana-513	174	50	133x	133x	NUM
cana-513	174	51	vol	vol	NOUN
cana-513	174	52	31	31	NUM
cana-513	174	53	no	no	NOUN
cana-513	174	54	.	.	NOUN
cana-513	174	55	2	2	NUM
cana-513	174	56	(	(	PUNCT
cana-513	174	57	2024	2024	NUM
cana-513	174	58	)	)	PUNCT
cana-513	174	59	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	174	60	66	66	NUM
cana-513	174	61	|v	|v	X
cana-513	174	62	(	(	PUNCT
cana-513	174	63	e0)|	e0)|	NOUN
cana-513	174	64	=	=	SYM
cana-513	174	65	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
cana-513	175	1	−µ−k	−µ−k	PROPN
cana-513	175	2	−β	−β	PROPN
cana-513	175	3	λ	λ	PROPN
cana-513	175	4	0	0	PUNCT
cana-513	175	5	β	β	NOUN
cana-513	175	6	−	−	PROPN
cana-513	175	7	γ	γ	X
cana-513	175	8	−	−	PROPN
cana-513	175	9	µ−k	µ−k	PROPN
cana-513	175	10	0	0	NUM
cana-513	175	11	0	0	NUM
cana-513	175	12	γ	γ	PROPN
cana-513	175	13	−λ−	−λ−	NOUN
cana-513	175	14	µ−k	µ−k	PROPN
cana-513	175	15	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
cana-513	175	16	(	(	PUNCT
cana-513	175	17	−µ−k)(β	−µ−k)(β	NOUN
cana-513	175	18	−	−	PROPN
cana-513	175	19	γ	γ	PROPN
cana-513	175	20	−	−	PROPN
cana-513	175	21	µ−k)(−λ−	µ−k)(−λ−	NOUN
cana-513	175	22	µ−k	µ−k	NOUN
cana-513	175	23	)	)	PUNCT
cana-513	175	24	=	=	SYM
cana-513	175	25	0	0	NUM
cana-513	176	1	it	it	PRON
cana-513	176	2	gives	give	VERB
cana-513	176	3	k1	k1	NOUN
cana-513	176	4	=	=	SYM
cana-513	176	5	−µ	−µ	ADJ
cana-513	176	6	,	,	PUNCT
cana-513	176	7	k2	k2	ADJ
cana-513	176	8	=	=	PUNCT
cana-513	176	9	−λ−	−λ−	NOUN
cana-513	176	10	µ	µ	X
cana-513	176	11	k3	k3	X
cana-513	176	12	=	=	X
cana-513	176	13	β	β	NOUN
cana-513	176	14	−	−	NOUN
cana-513	176	15	γ	γ	PROPN
cana-513	176	16	−	−	PROPN
cana-513	176	17	µ.	µ.	NOUN
cana-513	176	18	clearly	clearly	ADV
cana-513	176	19	,	,	PUNCT
cana-513	176	20	the	the	DET
cana-513	176	21	two	two	NUM
cana-513	176	22	eigenvalues	eigenvalue	NOUN
cana-513	176	23	are	be	AUX
cana-513	176	24	negative	negative	ADJ
cana-513	176	25	and	and	CCONJ
cana-513	176	26	third	third	ADJ
cana-513	176	27	will	will	AUX
cana-513	176	28	also	also	ADV
cana-513	176	29	be	be	AUX
cana-513	176	30	negative	negative	ADJ
cana-513	176	31	if	if	SCONJ
cana-513	176	32	(	(	PUNCT
cana-513	176	33	β−γ−µ	β−γ−µ	VERB
cana-513	176	34	)	)	PUNCT
cana-513	176	35	<	<	X
cana-513	176	36	0	0	NUM
cana-513	176	37	,	,	PUNCT
cana-513	176	38	i.e.	i.e.	X
cana-513	176	39	,	,	PUNCT
cana-513	176	40	if	if	SCONJ
cana-513	176	41	β	β	NOUN
cana-513	176	42	≤	≤	X
cana-513	176	43	γ	γ	X
cana-513	176	44	+	+	X
cana-513	176	45	µ	µ	X
cana-513	176	46	β	β	X
cana-513	176	47	γ+µ	γ+µ	X
cana-513	176	48	<	<	X
cana-513	176	49	1	1	NUM
cana-513	176	50	ra	ra	NOUN
cana-513	176	51	<	<	X
cana-513	176	52	1	1	NUM
cana-513	176	53	all	all	DET
cana-513	176	54	the	the	DET
cana-513	176	55	values	value	NOUN
cana-513	176	56	are	be	AUX
cana-513	176	57	negative	negative	ADJ
cana-513	176	58	if	if	SCONJ
cana-513	176	59	ra	ra	PROPN
cana-513	176	60	<	<	X
cana-513	176	61	1	1	NUM
cana-513	176	62	,	,	PUNCT
cana-513	176	63	so	so	SCONJ
cana-513	176	64	system	system	NOUN
cana-513	176	65	is	be	AUX
cana-513	176	66	locally	locally	ADV
cana-513	176	67	asymptotically	asymptotically	ADV
cana-513	176	68	stable	stable	ADJ
cana-513	176	69	in	in	ADP
cana-513	176	70	this	this	DET
cana-513	176	71	case	case	NOUN
cana-513	176	72	and	and	CCONJ
cana-513	176	73	unstable	unstable	ADJ
cana-513	177	1	when	when	SCONJ
cana-513	177	2	ra	ra	PROPN
cana-513	177	3	>	>	X
cana-513	177	4	1	1	X
cana-513	177	5	.	.	PUNCT
cana-513	178	1	when	when	SCONJ
cana-513	178	2	ra	ra	PROPN
cana-513	178	3	=	=	NOUN
cana-513	178	4	1	1	NUM
cana-513	178	5	,	,	PUNCT
cana-513	178	6	from	from	ADP
cana-513	178	7	expression	expression	NOUN
cana-513	178	8	(	(	PUNCT
cana-513	178	9	5	5	NUM
cana-513	178	10	)	)	PUNCT
cana-513	178	11	i∗	i∗	NOUN
cana-513	178	12	=	=	PUNCT
cana-513	178	13	0	0	NUM
cana-513	178	14	.	.	PUNCT
cana-513	179	1	so	so	ADV
cana-513	179	2	population	population	NOUN
cana-513	179	3	is	be	AUX
cana-513	179	4	disease	disease	NOUN
cana-513	179	5	free	free	ADJ
cana-513	179	6	.	.	PUNCT
cana-513	180	1	for	for	ADP
cana-513	180	2	disease	disease	NOUN
cana-513	180	3	free	free	ADJ
cana-513	180	4	equilibrium	equilibrium	PROPN
cana-513	180	5	ra	ra	PROPN
cana-513	180	6	=	=	SYM
cana-513	180	7	r0	r0	PROPN
cana-513	180	8	.	.	PUNCT
cana-513	181	1	theorem	theorem	VERB
cana-513	181	2	3.2	3.2	NUM
cana-513	181	3	.	.	PUNCT
cana-513	182	1	the	the	DET
cana-513	182	2	endemic	endemic	ADJ
cana-513	182	3	equilibrium	equilibrium	NOUN
cana-513	182	4	(	(	PUNCT
cana-513	182	5	ee	ee	PROPN
cana-513	182	6	)	)	PUNCT
cana-513	182	7	is	be	AUX
cana-513	182	8	locally	locally	ADV
cana-513	182	9	asymptotically	asymptotically	ADV
cana-513	182	10	stable	stable	ADJ
cana-513	182	11	for	for	ADP
cana-513	182	12	ra	ra	PROPN
cana-513	182	13	>	>	X
cana-513	182	14	1	1	X
cana-513	182	15	.	.	PUNCT
cana-513	183	1	proof	proof	NOUN
cana-513	183	2	.	.	PUNCT
cana-513	184	1	we	we	PRON
cana-513	184	2	have	have	VERB
cana-513	184	3	from	from	ADP
cana-513	184	4	endemic	endemic	ADJ
cana-513	184	5	equilibrium	equilibrium	NOUN
cana-513	184	6	(	(	PUNCT
cana-513	184	7	5	5	NUM
cana-513	184	8	)	)	PUNCT
cana-513	184	9	i∗	i∗	NOUN
cana-513	184	10	=	=	PUNCT
cana-513	184	11	(	(	PUNCT
cana-513	184	12	λ+	λ+	NUM
cana-513	184	13	µ	µ	X
cana-513	184	14	λ+	λ+	PUNCT
cana-513	184	15	µ+	µ+	X
cana-513	184	16	γ	γ	NOUN
cana-513	184	17	)	)	PUNCT
cana-513	184	18	(	(	PUNCT
cana-513	184	19	1−	1−	NUM
cana-513	184	20	1	1	NUM
cana-513	184	21	ra	ra	NOUN
cana-513	184	22	)	)	PUNCT
cana-513	184	23	.	.	PUNCT
cana-513	185	1	since	since	SCONJ
cana-513	185	2	,	,	PUNCT
cana-513	185	3	parameters	parameter	NOUN
cana-513	185	4	λ	λ	PROPN
cana-513	185	5	,	,	PUNCT
cana-513	185	6	µ	µ	NOUN
cana-513	185	7	,	,	PUNCT
cana-513	185	8	and	and	CCONJ
cana-513	185	9	γ	γ	NOUN
cana-513	185	10	are	be	AUX
cana-513	185	11	all	all	ADV
cana-513	185	12	positive	positive	ADJ
cana-513	185	13	,	,	PUNCT
cana-513	185	14	if	if	SCONJ
cana-513	185	15	ra	ra	PROPN
cana-513	185	16	<	<	X
cana-513	185	17	1	1	NUM
cana-513	185	18	,	,	PUNCT
cana-513	185	19	then	then	ADV
cana-513	185	20	i∗	i∗	VERB
cana-513	185	21	<	<	X
cana-513	185	22	0	0	NUM
cana-513	185	23	which	which	PRON
cana-513	185	24	is	be	AUX
cana-513	185	25	contradiction	contradiction	NOUN
cana-513	185	26	because	because	SCONJ
cana-513	185	27	we	we	PRON
cana-513	185	28	suppose	suppose	VERB
cana-513	185	29	i∗	i∗	NOUN
cana-513	185	30	>	>	X
cana-513	185	31	0	0	PUNCT
cana-513	185	32	for	for	ADP
cana-513	185	33	endemic	endemic	ADJ
cana-513	185	34	equilibrium	equilibrium	NOUN
cana-513	185	35	.	.	PUNCT
cana-513	186	1	so	so	ADV
cana-513	186	2	,	,	PUNCT
cana-513	186	3	endemic	endemic	ADJ
cana-513	186	4	equilibrium	equilibrium	NOUN
cana-513	186	5	is	be	AUX
cana-513	186	6	locally	locally	ADV
cana-513	186	7	asymptotically	asymptotically	ADV
cana-513	186	8	stable	stable	ADJ
cana-513	186	9	for	for	ADP
cana-513	186	10	ra	ra	PROPN
cana-513	186	11	>	>	X
cana-513	186	12	1	1	X
cana-513	186	13	.	.	PUNCT
cana-513	186	14	theorem	theorem	VERB
cana-513	186	15	3.3	3.3	NUM
cana-513	186	16	.	.	PUNCT
cana-513	187	1	the	the	DET
cana-513	187	2	endemic	endemic	ADJ
cana-513	187	3	equilibrium	equilibrium	NOUN
cana-513	187	4	e1	e1	NOUN
cana-513	187	5	is	be	AUX
cana-513	187	6	locally	locally	ADV
cana-513	187	7	asymptotically	asymptotically	ADV
cana-513	187	8	stable	stable	ADJ
cana-513	187	9	if	if	SCONJ
cana-513	187	10	the	the	DET
cana-513	187	11	coefficients	coefficient	NOUN
cana-513	187	12	of	of	ADP
cana-513	187	13	the	the	DET
cana-513	187	14	characteristic	characteristic	ADJ
cana-513	187	15	equation	equation	NOUN
cana-513	187	16	of	of	ADP
cana-513	187	17	system	system	NOUN
cana-513	187	18	(	(	PUNCT
cana-513	187	19	3	3	NUM
cana-513	187	20	)	)	PUNCT
cana-513	187	21	at	at	ADP
cana-513	187	22	e1	e1	NOUN
cana-513	187	23	satisfy	satisfy	VERB
cana-513	187	24	the	the	DET
cana-513	187	25	routh	routh	PROPN
cana-513	187	26	-	-	PUNCT
cana-513	187	27	hurwitz	hurwitz	PROPN
cana-513	187	28	criterion	criterion	NOUN
cana-513	187	29	.	.	PUNCT
cana-513	188	1	communications	communication	NOUN
cana-513	188	2	on	on	ADP
cana-513	188	3	applied	apply	VERB
cana-513	188	4	nonlinear	nonlinear	ADJ
cana-513	188	5	analysis	analysis	NOUN
cana-513	188	6	issn	issn	NOUN
cana-513	188	7	:	:	PUNCT
cana-513	188	8	1074	1074	NUM
cana-513	188	9	-	-	PUNCT
cana-513	188	10	133x	133x	NUM
cana-513	188	11	vol	vol	NOUN
cana-513	188	12	31	31	NUM
cana-513	188	13	no	no	NOUN
cana-513	188	14	.	.	NOUN
cana-513	188	15	2	2	NUM
cana-513	188	16	(	(	PUNCT
cana-513	188	17	2024	2024	NUM
cana-513	188	18	)	)	PUNCT
cana-513	188	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	188	20	67	67	NUM
cana-513	188	21	proof	proof	NOUN
cana-513	188	22	.	.	PUNCT
cana-513	189	1	the	the	DET
cana-513	189	2	variational	variational	ADJ
cana-513	189	3	matrix	matrix	NOUN
cana-513	189	4	e1	e1	NOUN
cana-513	189	5	at	at	ADP
cana-513	189	6	the	the	DET
cana-513	189	7	endemic	endemic	ADJ
cana-513	189	8	equilibrium	equilibrium	NOUN
cana-513	189	9	is	be	AUX
cana-513	189	10	given	give	VERB
cana-513	189	11	by	by	ADP
cana-513	189	12	e1	e1	NOUN
cana-513	189	13	=	=	SYM
cana-513	189	14			NOUN
cana-513	189	15	−βe−cmi∗	−βe−cmi∗	ADP
cana-513	189	16	−	−	PROPN
cana-513	189	17	µ	µ	PROPN
cana-513	189	18	βe−cms∗	βe−cms∗	PUNCT
cana-513	189	19	λ	λ	X
cana-513	189	20	βe−cmi∗	βe−cmi∗	SYM
cana-513	190	1	βe−cms∗	βe−cms∗	ADP
cana-513	190	2	−	−	ADP
cana-513	190	3	γ	γ	PROPN
cana-513	190	4	−	−	PROPN
cana-513	190	5	µ	µ	NOUN
cana-513	190	6	0	0	NUM
cana-513	190	7	0	0	NUM
cana-513	190	8	γ	γ	PROPN
cana-513	190	9	−µ−	−µ−	NOUN
cana-513	190	10	λ	λ	PROPN
cana-513	190	11			ADJ
cana-513	190	12	e1	e1	PROPN
cana-513	190	13	=	=	SYM
cana-513	190	14			NOUN
cana-513	190	15	x11	x11	NOUN
cana-513	190	16	x12	x12	NUM
cana-513	190	17	x13	x13	PROPN
cana-513	190	18	x21	x21	PROPN
cana-513	190	19	x22	x22	NOUN
cana-513	190	20	0	0	SYM
cana-513	190	21	0	0	NUM
cana-513	190	22	x32	x32	PROPN
cana-513	190	23	x33	x33	NUM
cana-513	190	24			PROPN
cana-513	190	25	where	where	SCONJ
cana-513	190	26	,	,	PUNCT
cana-513	190	27	x11	x11	NOUN
cana-513	190	28	=	=	NOUN
cana-513	190	29	−βe−cmi∗	−βe−cmi∗	ADP
cana-513	190	30	−	−	PROPN
cana-513	190	31	µ	µ	NUM
cana-513	190	32	,	,	PUNCT
cana-513	190	33	x12	x12	NUM
cana-513	190	34	=	=	SYM
cana-513	190	35	−βe−cms∗	−βe−cms∗	NOUN
cana-513	190	36	,	,	PUNCT
cana-513	190	37	x13	x13	PROPN
cana-513	190	38	=	=	SYM
cana-513	190	39	λ	λ	PROPN
cana-513	190	40	,	,	PUNCT
cana-513	190	41	x21	x21	PROPN
cana-513	190	42	=	=	SYM
cana-513	190	43	βe−cmi∗	βe−cmi∗	ADJ
cana-513	190	44	,	,	PUNCT
cana-513	190	45	x22	x22	NOUN
cana-513	190	46	=	=	SYM
cana-513	190	47	βe−cms∗	βe−cms∗	NOUN
cana-513	190	48	−	−	ADP
cana-513	190	49	γ	γ	PROPN
cana-513	190	50	−	−	PROPN
cana-513	190	51	µ	µ	PROPN
cana-513	190	52	,	,	PUNCT
cana-513	190	53	x32	x32	NOUN
cana-513	190	54	=	=	SYM
cana-513	190	55	γ	γ	X
cana-513	190	56	,	,	PUNCT
cana-513	190	57	x33	x33	NOUN
cana-513	190	58	=	=	NOUN
cana-513	190	59	−λ−	−λ−	NOUN
cana-513	190	60	µ.	µ.	NOUN
cana-513	190	61	the	the	DET
cana-513	190	62	characteristic	characteristic	ADJ
cana-513	190	63	equation	equation	NOUN
cana-513	190	64	at	at	ADP
cana-513	190	65	e1	e1	PROPN
cana-513	190	66	is	be	AUX
cana-513	190	67	|(ki	|(ki	PRON
cana-513	190	68	−	−	PUNCT
cana-513	190	69	e1)|	e1)|	PROPN
cana-513	190	70	=	=	SYM
cana-513	190	71	0	0	PROPN
cana-513	190	72	,	,	PUNCT
cana-513	190	73	where	where	SCONJ
cana-513	190	74	i	i	PRON
cana-513	190	75	is	be	AUX
cana-513	190	76	the	the	DET
cana-513	190	77	identity	identity	NOUN
cana-513	190	78	matrix	matrix	NOUN
cana-513	190	79	of	of	ADP
cana-513	190	80	order	order	NOUN
cana-513	190	81	3	3	NUM
cana-513	190	82	and	and	CCONJ
cana-513	190	83	k	k	PROPN
cana-513	190	84	is	be	AUX
cana-513	190	85	the	the	DET
cana-513	190	86	eigenvalue	eigenvalue	NOUN
cana-513	190	87	of	of	ADP
cana-513	190	88	matrix	matrix	NOUN
cana-513	190	89	e1	e1	NOUN
cana-513	190	90	.	.	PUNCT
cana-513	191	1	by	by	ADP
cana-513	191	2	simple	simple	ADJ
cana-513	191	3	computation	computation	NOUN
cana-513	191	4	,	,	PUNCT
cana-513	191	5	the	the	DET
cana-513	191	6	characteristic	characteristic	ADJ
cana-513	191	7	equation	equation	NOUN
cana-513	191	8	can	can	AUX
cana-513	191	9	be	be	AUX
cana-513	191	10	expressed	express	VERB
cana-513	191	11	in	in	ADP
cana-513	191	12	the	the	DET
cana-513	191	13	following	follow	VERB
cana-513	191	14	form	form	NOUN
cana-513	191	15	k3	k3	VERB
cana-513	191	16	+	+	NUM
cana-513	191	17	ak2	ak2	NOUN
cana-513	191	18	+	+	NOUN
cana-513	191	19	bk	bk	X
cana-513	191	20	+	+	NOUN
cana-513	191	21	c	c	NOUN
cana-513	191	22	=	=	SYM
cana-513	191	23	0	0	NUM
cana-513	191	24	(	(	PUNCT
cana-513	191	25	6	6	NUM
cana-513	191	26	)	)	PUNCT
cana-513	192	1	where	where	SCONJ
cana-513	192	2	,	,	PUNCT
cana-513	192	3	a	a	PRON
cana-513	192	4	=	=	X
cana-513	192	5	−(x11	−(x11	X
cana-513	192	6	+	+	CCONJ
cana-513	192	7	x22	x22	PROPN
cana-513	192	8	+	+	CCONJ
cana-513	192	9	x33	x33	ADJ
cana-513	192	10	)	)	PUNCT
cana-513	192	11	=	=	PUNCT
cana-513	192	12	β1(i	β1(i	PUNCT
cana-513	192	13	∗	∗	NOUN
cana-513	192	14	−	−	PROPN
cana-513	192	15	s∗	s∗	PROPN
cana-513	192	16	)	)	PUNCT
cana-513	193	1	+	+	CCONJ
cana-513	193	2	3µ+	3µ+	NUM
cana-513	193	3	γ	γ	X
cana-513	193	4	+	+	X
cana-513	193	5	λ	λ	X
cana-513	193	6	b	b	PROPN
cana-513	193	7	=	=	SYM
cana-513	193	8	x11x22	x11x22	PROPN
cana-513	193	9	+	+	CCONJ
cana-513	193	10	x11x33	x11x33	NOUN
cana-513	193	11	+	+	CCONJ
cana-513	193	12	x22x33	x22x33	NUM
cana-513	193	13	−	−	PROPN
cana-513	193	14	x12x21	x12x21	PROPN
cana-513	193	15	=	=	SYM
cana-513	193	16	β1[i	β1[i	PROPN
cana-513	193	17	∗(γ	∗(γ	NOUN
cana-513	193	18	+	+	CCONJ
cana-513	193	19	λ+	λ+	PUNCT
cana-513	193	20	2µ)−	2µ)−	NUM
cana-513	193	21	s∗(2µ+	s∗(2µ+	X
cana-513	193	22	λ	λ	PROPN
cana-513	193	23	)	)	PUNCT
cana-513	193	24	]	]	PUNCT
cana-513	194	1	+	+	CCONJ
cana-513	194	2	(	(	PUNCT
cana-513	194	3	2µγ	2µγ	ADJ
cana-513	194	4	+	+	CCONJ
cana-513	194	5	2λµ+	2λµ+	NUM
cana-513	194	6	3µ2	3µ2	NUM
cana-513	194	7	+	+	CCONJ
cana-513	194	8	γλ	γλ	X
cana-513	194	9	)	)	PUNCT
cana-513	194	10	communications	communication	NOUN
cana-513	194	11	on	on	ADP
cana-513	194	12	applied	apply	VERB
cana-513	194	13	nonlinear	nonlinear	ADJ
cana-513	194	14	analysis	analysis	NOUN
cana-513	194	15	issn	issn	NOUN
cana-513	194	16	:	:	PUNCT
cana-513	194	17	1074	1074	NUM
cana-513	194	18	-	-	PUNCT
cana-513	194	19	133x	133x	NUM
cana-513	194	20	vol	vol	NOUN
cana-513	194	21	31	31	NUM
cana-513	194	22	no	no	NOUN
cana-513	194	23	.	.	NOUN
cana-513	194	24	2	2	NUM
cana-513	194	25	(	(	PUNCT
cana-513	194	26	2024	2024	NUM
cana-513	194	27	)	)	PUNCT
cana-513	194	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	195	1	68	68	NUM
cana-513	195	2	c	c	NOUN
cana-513	195	3	=	=	PUNCT
cana-513	195	4	x12x21x33	x12x21x33	X
cana-513	195	5	−	−	X
cana-513	195	6	x13x21x32	x13x21x32	PROPN
cana-513	196	1	−	−	PROPN
cana-513	196	2	x11x22x33	x11x22x33	PROPN
cana-513	196	3	=	=	SYM
cana-513	196	4	(	(	PUNCT
cana-513	196	5	λ+	λ+	NUM
cana-513	196	6	µ)[β1i	µ)[β1i	PUNCT
cana-513	196	7	∗γ	∗γ	NOUN
cana-513	196	8	+	+	NUM
cana-513	196	9	β1i	β1i	PUNCT
cana-513	196	10	∗µ−	∗µ−	PROPN
cana-513	196	11	β1s	β1s	PUNCT
cana-513	196	12	∗µ+	∗µ+	PROPN
cana-513	196	13	γµ+	γµ+	PROPN
cana-513	196	14	µ2]−	µ2]−	NOUN
cana-513	196	15	β1i	β1i	X
cana-513	196	16	∗λγ	∗λγ	PUNCT
cana-513	196	17	=	=	PUNCT
cana-513	197	1	β1[µ{λ(i∗	β1[µ{λ(i∗	NUM
cana-513	198	1	−	−	NOUN
cana-513	198	2	s∗	s∗	PROPN
cana-513	198	3	)	)	PUNCT
cana-513	199	1	+	+	CCONJ
cana-513	199	2	i∗γ	i∗γ	PUNCT
cana-513	200	1	+	+	CCONJ
cana-513	200	2	i∗µ−	i∗µ−	ADJ
cana-513	200	3	µs∗	µs∗	ADJ
cana-513	200	4	}	}	PUNCT
cana-513	200	5	]	]	PUNCT
cana-513	201	1	+	+	CCONJ
cana-513	201	2	µ(λ+	µ(λ+	PRON
cana-513	201	3	µ)(γ	µ)(γ	NOUN
cana-513	201	4	+	+	X
cana-513	201	5	µ	µ	X
cana-513	201	6	)	)	PUNCT
cana-513	201	7	(	(	PUNCT
cana-513	201	8	7	7	X
cana-513	201	9	)	)	PUNCT
cana-513	201	10	here	here	ADV
cana-513	201	11	,	,	PUNCT
cana-513	201	12	we	we	PRON
cana-513	201	13	suppose	suppose	VERB
cana-513	201	14	m	m	PRON
cana-513	201	15	as	as	ADP
cana-513	201	16	a	a	DET
cana-513	201	17	constant	constant	ADJ
cana-513	201	18	coefficient	coefficient	NOUN
cana-513	201	19	and	and	CCONJ
cana-513	201	20	β1	β1	PROPN
cana-513	201	21	=	=	SYM
cana-513	201	22	βe−cm	βe−cm	PUNCT
cana-513	201	23	.	.	PUNCT
cana-513	202	1	now	now	ADV
cana-513	202	2	,	,	PUNCT
cana-513	202	3	when	when	SCONJ
cana-513	202	4	ra	ra	PROPN
cana-513	202	5	>	>	X
cana-513	202	6	1	1	NUM
cana-513	202	7	,	,	PUNCT
cana-513	202	8	the	the	DET
cana-513	202	9	endemic	endemic	ADJ
cana-513	202	10	equilibrium	equilibrium	NOUN
cana-513	202	11	point	point	NOUN
cana-513	202	12	exists	exist	VERB
cana-513	202	13	.	.	PUNCT
cana-513	203	1	furthermore	furthermore	ADV
cana-513	203	2	,	,	PUNCT
cana-513	203	3	benefiting	benefit	VERB
cana-513	203	4	the	the	DET
cana-513	203	5	routh	routh	PROPN
cana-513	203	6	-	-	PUNCT
cana-513	203	7	hurwitz	hurwitz	PROPN
cana-513	203	8	criterion	criterion	NOUN
cana-513	203	9	[	[	X
cana-513	203	10	21	21	NUM
cana-513	203	11	]	]	X
cana-513	203	12	,	,	PUNCT
cana-513	203	13	all	all	DET
cana-513	203	14	the	the	DET
cana-513	203	15	eigenvalues	eigenvalue	NOUN
cana-513	203	16	of	of	ADP
cana-513	203	17	characteristic	characteristic	ADJ
cana-513	203	18	equation	equation	NOUN
cana-513	203	19	have	have	VERB
cana-513	203	20	negative	negative	ADJ
cana-513	203	21	real	real	ADJ
cana-513	203	22	parts	part	NOUN
cana-513	203	23	if	if	SCONJ
cana-513	203	24	the	the	DET
cana-513	203	25	conditions	condition	NOUN
cana-513	203	26	given	give	VERB
cana-513	203	27	below	below	ADP
cana-513	203	28	hold	hold	NOUN
cana-513	203	29	:	:	PUNCT
cana-513	203	30	a	a	PRON
cana-513	203	31	>	>	X
cana-513	203	32	0	0	NUM
cana-513	203	33	,	,	PUNCT
cana-513	203	34	b	b	X
cana-513	203	35	>	>	X
cana-513	203	36	0	0	NUM
cana-513	203	37	,	,	PUNCT
cana-513	203	38	c	c	NOUN
cana-513	203	39	>	>	X
cana-513	203	40	0	0	PROPN
cana-513	203	41	,	,	PUNCT
cana-513	203	42	ab	ab	PROPN
cana-513	203	43	−	−	PROPN
cana-513	203	44	c	c	PROPN
cana-513	203	45	>	>	PUNCT
cana-513	203	46	0	0	PUNCT
cana-513	204	1	and	and	CCONJ
cana-513	204	2	abc	abc	PROPN
cana-513	204	3	−	−	PROPN
cana-513	204	4	c2	c2	PROPN
cana-513	204	5	>	>	X
cana-513	204	6	0	0	PROPN
cana-513	204	7	.	.	PUNCT
cana-513	205	1	therefore	therefore	ADV
cana-513	205	2	,	,	PUNCT
cana-513	205	3	the	the	DET
cana-513	205	4	endemic	endemic	ADJ
cana-513	205	5	equilibrium	equilibrium	NOUN
cana-513	205	6	e1	e1	NOUN
cana-513	205	7	is	be	AUX
cana-513	205	8	locally	locally	ADV
cana-513	205	9	asymptotically	asymptotically	ADV
cana-513	205	10	stable	stable	ADJ
cana-513	205	11	if	if	SCONJ
cana-513	205	12	ra	ra	PROPN
cana-513	205	13	>	>	X
cana-513	205	14	1	1	NUM
cana-513	205	15	and	and	CCONJ
cana-513	205	16	above	above	ADP
cana-513	205	17	conditions	condition	NOUN
cana-513	205	18	are	be	AUX
cana-513	205	19	satisfied	satisfied	ADJ
cana-513	205	20	.	.	PUNCT
cana-513	206	1	hence	hence	ADV
cana-513	206	2	,	,	PUNCT
cana-513	206	3	the	the	DET
cana-513	206	4	endemic	endemic	ADJ
cana-513	206	5	equilibrium	equilibrium	NOUN
cana-513	206	6	e1	e1	NOUN
cana-513	206	7	is	be	AUX
cana-513	206	8	locally	locally	ADV
cana-513	206	9	asymptotically	asymptotically	ADV
cana-513	206	10	stable	stable	ADJ
cana-513	206	11	if	if	SCONJ
cana-513	206	12	ra	ra	PROPN
cana-513	206	13	>	>	X
cana-513	206	14	1	1	NUM
cana-513	206	15	and	and	CCONJ
cana-513	206	16	above	above	ADP
cana-513	206	17	conditions	condition	NOUN
cana-513	206	18	are	be	AUX
cana-513	206	19	satisfied	satisfied	ADJ
cana-513	206	20	.	.	PUNCT
cana-513	207	1	3.2.2	3.2.2	NUM
cana-513	207	2	global	global	ADJ
cana-513	207	3	stability	stability	NOUN
cana-513	207	4	analysis	analysis	NOUN
cana-513	207	5	theorem	theorem	VERB
cana-513	207	6	3.4	3.4	NUM
cana-513	207	7	.	.	PUNCT
cana-513	208	1	if	if	SCONJ
cana-513	208	2	ra	ra	PROPN
cana-513	208	3	<	<	X
cana-513	208	4	1	1	NUM
cana-513	208	5	,	,	PUNCT
cana-513	208	6	then	then	ADV
cana-513	208	7	the	the	DET
cana-513	208	8	disease	disease	NOUN
cana-513	208	9	-	-	PUNCT
cana-513	208	10	free	free	ADJ
cana-513	208	11	equilibrium	equilibrium	NOUN
cana-513	208	12	e0	e0	PROPN
cana-513	208	13	of	of	ADP
cana-513	208	14	the	the	DET
cana-513	208	15	system	system	NOUN
cana-513	208	16	(	(	PUNCT
cana-513	208	17	3	3	X
cana-513	208	18	)	)	PUNCT
cana-513	208	19	is	be	AUX
cana-513	208	20	globally	globally	ADV
cana-513	208	21	asymptotically	asymptotically	ADV
cana-513	208	22	stable	stable	ADJ
cana-513	208	23	in	in	ADP
cana-513	208	24	the	the	DET
cana-513	208	25	region	region	NOUN
cana-513	209	1	ω	ω	NOUN
cana-513	209	2	.	.	PUNCT
cana-513	210	1	if	if	SCONJ
cana-513	210	2	ra	ra	PROPN
cana-513	210	3	>	>	X
cana-513	210	4	1	1	NUM
cana-513	210	5	,	,	PUNCT
cana-513	210	6	then	then	ADV
cana-513	210	7	the	the	DET
cana-513	210	8	endemic	endemic	ADJ
cana-513	210	9	equilibrium	equilibrium	NOUN
cana-513	210	10	e∗	e∗	NOUN
cana-513	210	11	is	be	AUX
cana-513	210	12	globally	globally	ADV
cana-513	210	13	asymptotically	asymptotically	ADV
cana-513	210	14	stable	stable	ADJ
cana-513	210	15	in	in	ADP
cana-513	210	16	the	the	DET
cana-513	210	17	region	region	NOUN
cana-513	210	18	ω	ω	PROPN
cana-513	210	19	=	=	SYM
cana-513	210	20	(	(	PUNCT
cana-513	210	21	s	s	PROPN
cana-513	210	22	,	,	PUNCT
cana-513	210	23	i	i	PRON
cana-513	210	24	,	,	PUNCT
cana-513	210	25	r	r	NOUN
cana-513	210	26	)	)	PUNCT
cana-513	210	27	.	.	PUNCT
cana-513	211	1	proof	proof	NOUN
cana-513	211	2	.	.	PUNCT
cana-513	212	1	first	first	ADV
cana-513	212	2	we	we	PRON
cana-513	212	3	prove	prove	VERB
cana-513	212	4	the	the	DET
cana-513	212	5	global	global	ADJ
cana-513	212	6	stability	stability	NOUN
cana-513	212	7	at	at	ADP
cana-513	212	8	the	the	DET
cana-513	212	9	disease	disease	NOUN
cana-513	212	10	-	-	PUNCT
cana-513	212	11	free	free	ADJ
cana-513	212	12	equilibrium	equilibrium	NOUN
cana-513	212	13	e0	e0	PROPN
cana-513	212	14	when	when	SCONJ
cana-513	212	15	ra	ra	PROPN
cana-513	212	16	<	<	X
cana-513	212	17	1	1	X
cana-513	212	18	.	.	PUNCT
cana-513	212	19	consider	consider	VERB
cana-513	212	20	a	a	DET
cana-513	212	21	lyapunov	lyapunov	ADJ
cana-513	212	22	function	function	NOUN
cana-513	212	23	l	l	NOUN
cana-513	213	1	=	=	PUNCT
cana-513	213	2	i	i	INTJ
cana-513	213	3	.	.	PUNCT
cana-513	214	1	then	then	ADV
cana-513	214	2	,	,	PUNCT
cana-513	214	3	the	the	DET
cana-513	214	4	lyapunov	lyapunov	ADJ
cana-513	214	5	derivative	derivative	NOUN
cana-513	214	6	will	will	AUX
cana-513	214	7	be	be	AUX
cana-513	214	8	dl	dl	PROPN
cana-513	214	9	dt	dt	NOUN
cana-513	215	1	=	=	SYM
cana-513	215	2	di	di	X
cana-513	215	3	dt	dt	X
cana-513	215	4	dl	dl	PROPN
cana-513	215	5	dt	dt	PROPN
cana-513	215	6	=	=	PUNCT
cana-513	216	1	[	[	X
cana-513	216	2	βe−cm(t)s	βe−cm(t)s	ADV
cana-513	216	3	−	−	PROPN
cana-513	216	4	µ−	µ−	NOUN
cana-513	216	5	γ]i	γ]i	VERB
cana-513	216	6	=	=	PUNCT
cana-513	217	1	[	[	X
cana-513	217	2	β	β	X
cana-513	217	3	−	−	NOUN
cana-513	217	4	µ−	µ−	PROPN
cana-513	217	5	γ]i	γ]i	VERB
cana-513	217	6	≤	≤	NOUN
cana-513	217	7	0	0	NUM
cana-513	217	8	,	,	PUNCT
cana-513	217	9	sincera	sincera	NOUN
cana-513	217	10	<	<	X
cana-513	217	11	1	1	NUM
cana-513	217	12	.	.	PUNCT
cana-513	218	1	thus	thus	ADV
cana-513	218	2	,	,	PUNCT
cana-513	218	3	if	if	SCONJ
cana-513	218	4	ra	ra	PROPN
cana-513	218	5	<	<	X
cana-513	218	6	1	1	NUM
cana-513	218	7	,	,	PUNCT
cana-513	218	8	then	then	ADV
cana-513	218	9	dl	dl	PROPN
cana-513	218	10	dt	dt	PROPN
cana-513	218	11	≤	≤	PROPN
cana-513	218	12	0	0	NUM
cana-513	218	13	.	.	PUNCT
cana-513	219	1	therefore	therefore	ADV
cana-513	219	2	the	the	DET
cana-513	219	3	largest	large	ADJ
cana-513	219	4	positive	positive	ADJ
cana-513	219	5	invariant	invariant	ADJ
cana-513	219	6	set	set	NOUN
cana-513	219	7	in	in	ADP
cana-513	219	8	(	(	PUNCT
cana-513	219	9	s	s	X
cana-513	219	10	,	,	PUNCT
cana-513	219	11	i	i	PRON
cana-513	219	12	,	,	PUNCT
cana-513	219	13	r	r	NOUN
cana-513	219	14	)	)	PUNCT
cana-513	219	15	∈	∈	PROPN
cana-513	219	16	ω	ω	NUM
cana-513	219	17	communications	communication	NOUN
cana-513	219	18	on	on	ADP
cana-513	219	19	applied	apply	VERB
cana-513	219	20	nonlinear	nonlinear	ADJ
cana-513	219	21	analysis	analysis	NOUN
cana-513	219	22	issn	issn	NOUN
cana-513	219	23	:	:	PUNCT
cana-513	219	24	1074	1074	NUM
cana-513	219	25	-	-	PUNCT
cana-513	219	26	133x	133x	NUM
cana-513	219	27	vol	vol	NOUN
cana-513	219	28	31	31	NUM
cana-513	219	29	no	no	NOUN
cana-513	219	30	.	.	NOUN
cana-513	219	31	2	2	NUM
cana-513	219	32	(	(	PUNCT
cana-513	219	33	2024	2024	NUM
cana-513	219	34	)	)	PUNCT
cana-513	220	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	220	2	69	69	NUM
cana-513	220	3	is	be	AUX
cana-513	220	4	the	the	DET
cana-513	220	5	singleton	singleton	PROPN
cana-513	220	6	set	set	VERB
cana-513	220	7	e0	e0	PROPN
cana-513	220	8	,	,	PUNCT
cana-513	220	9	where	where	SCONJ
cana-513	220	10	e0	e0	PROPN
cana-513	220	11	is	be	AUX
cana-513	220	12	the	the	DET
cana-513	220	13	disease	disease	NOUN
cana-513	220	14	-	-	PUNCT
cana-513	220	15	free	free	ADJ
cana-513	220	16	equilibrium	equilibrium	NOUN
cana-513	220	17	.	.	PUNCT
cana-513	221	1	thus	thus	ADV
cana-513	221	2	,	,	PUNCT
cana-513	221	3	by	by	ADP
cana-513	221	4	lasalle	lasalle	PROPN
cana-513	221	5	’s	’s	PART
cana-513	221	6	invariant	invariant	ADJ
cana-513	221	7	principle	principle	NOUN
cana-513	221	8	e0	e0	PROPN
cana-513	221	9	is	be	AUX
cana-513	221	10	globally	globally	ADV
cana-513	221	11	asymptotically	asymptotically	ADV
cana-513	221	12	stable	stable	ADJ
cana-513	221	13	in	in	ADP
cana-513	221	14	ω	ω	PROPN
cana-513	221	15	.	.	PUNCT
cana-513	222	1	in	in	ADP
cana-513	222	2	order	order	NOUN
cana-513	222	3	to	to	PART
cana-513	222	4	prove	prove	VERB
cana-513	222	5	the	the	DET
cana-513	222	6	global	global	ADJ
cana-513	222	7	stability	stability	NOUN
cana-513	222	8	of	of	ADP
cana-513	222	9	e∗	e∗	PROPN
cana-513	222	10	when	when	SCONJ
cana-513	222	11	ra	ra	PROPN
cana-513	222	12	>	>	X
cana-513	222	13	1	1	NUM
cana-513	222	14	the	the	DET
cana-513	222	15	system	system	NOUN
cana-513	222	16	(	(	PUNCT
cana-513	222	17	3	3	X
cana-513	222	18	)	)	PUNCT
cana-513	222	19	is	be	AUX
cana-513	222	20	di	di	NOUN
cana-513	222	21	dt	dt	NOUN
cana-513	222	22	=	=	PUNCT
cana-513	223	1	[	[	X
cana-513	223	2	βe−cm(t)(1−	βe−cm(t)(1−	PROPN
cana-513	223	3	i	i	PRON
cana-513	223	4	−r)−	−r)−	PROPN
cana-513	223	5	µ−	µ−	PROPN
cana-513	223	6	γ]i	γ]i	VERB
cana-513	223	7	dr	dr	PROPN
cana-513	223	8	dt	dt	NOUN
cana-513	223	9	=	=	PUNCT
cana-513	223	10	γi	γi	PROPN
cana-513	223	11	−	−	PROPN
cana-513	223	12	µr−	µr−	PUNCT
cana-513	223	13	λr	λr	ADP
cana-513	223	14	now	now	ADV
cana-513	223	15	,	,	PUNCT
cana-513	223	16	we	we	PRON
cana-513	223	17	discuss	discuss	VERB
cana-513	223	18	in	in	ADP
cana-513	223	19	the	the	DET
cana-513	223	20	first	first	ADJ
cana-513	223	21	quadrant	quadrant	NOUN
cana-513	223	22	of	of	ADP
cana-513	223	23	ir	ir	NOUN
cana-513	223	24	-	-	NOUN
cana-513	223	25	plane	plane	NOUN
cana-513	223	26	.	.	PUNCT
cana-513	224	1	using	use	VERB
cana-513	224	2	dulac	dulac	PROPN
cana-513	224	3	’s	’s	PART
cana-513	224	4	criteria	criterion	NOUN
cana-513	224	5	with	with	ADP
cana-513	224	6	multipliers	multiplier	NOUN
cana-513	224	7	d1	d1	PROPN
cana-513	224	8	=	=	SYM
cana-513	225	1	1	1	X
cana-513	225	2	i	i	PRON
cana-513	225	3	let	let	VERB
cana-513	225	4	,	,	PUNCT
cana-513	225	5	f1	f1	NOUN
cana-513	225	6	=	=	PUNCT
cana-513	226	1	[	[	X
cana-513	226	2	βe−cm(1−	βe−cm(1−	ADJ
cana-513	226	3	i	i	PRON
cana-513	226	4	−r)−	−r)−	NOUN
cana-513	226	5	µ−	µ−	PROPN
cana-513	226	6	γ]i	γ]i	VERB
cana-513	226	7	,	,	PUNCT
cana-513	226	8	f2	f2	NOUN
cana-513	226	9	=	=	SYM
cana-513	226	10	γi	γi	ADP
cana-513	226	11	−	−	PROPN
cana-513	226	12	µr−	µr−	PUNCT
cana-513	226	13	λr	λr	NOUN
cana-513	226	14	,	,	PUNCT
cana-513	226	15	d1f1	d1f1	PROPN
cana-513	226	16	=	=	PUNCT
cana-513	227	1	[	[	X
cana-513	227	2	βe−cm(1−	βe−cm(1−	ADJ
cana-513	227	3	i	i	PRON
cana-513	227	4	−r)−	−r)−	PROPN
cana-513	227	5	µ−	µ−	PROPN
cana-513	227	6	γ	γ	X
cana-513	227	7	]	]	X
cana-513	227	8	d1f2	d1f2	X
cana-513	227	9	=	=	SYM
cana-513	227	10	γ	γ	X
cana-513	227	11	−	−	PROPN
cana-513	227	12	(	(	PUNCT
cana-513	227	13	µ+	µ+	X
cana-513	227	14	λ	λ	X
cana-513	227	15	i	i	PRON
cana-513	227	16	)	)	PUNCT
cana-513	228	1	r	r	NOUN
cana-513	228	2	we	we	PRON
cana-513	228	3	have	have	VERB
cana-513	228	4	,	,	PUNCT
cana-513	228	5	∂d1f1	∂d1f1	PROPN
cana-513	228	6	∂i	∂i	PROPN
cana-513	228	7	+	+	CCONJ
cana-513	228	8	∂d1f2	∂d1f2	PROPN
cana-513	229	1	∂r	∂r	PROPN
cana-513	229	2	=	=	PUNCT
cana-513	229	3	−βe−cm	−βe−cm	ADJ
cana-513	229	4	−	−	PROPN
cana-513	229	5	(	(	PUNCT
cana-513	229	6	µ+	µ+	X
cana-513	229	7	λ	λ	X
cana-513	229	8	i	i	NOUN
cana-513	229	9	)	)	PUNCT
cana-513	229	10	<	<	X
cana-513	229	11	0	0	PUNCT
cana-513	229	12	thus	thus	ADV
cana-513	229	13	,	,	PUNCT
cana-513	229	14	there	there	PRON
cana-513	229	15	is	be	VERB
cana-513	229	16	no	no	DET
cana-513	229	17	limit	limit	NOUN
cana-513	229	18	cycle	cycle	NOUN
cana-513	229	19	,	,	PUNCT
cana-513	229	20	i.e.	i.e.	X
cana-513	229	21	,	,	PUNCT
cana-513	229	22	no	no	DET
cana-513	229	23	periodic	periodic	ADJ
cana-513	229	24	solutions	solution	NOUN
cana-513	229	25	exist	exist	VERB
cana-513	229	26	in	in	ADP
cana-513	229	27	the	the	DET
cana-513	229	28	region	region	NOUN
cana-513	229	29	.	.	PUNCT
cana-513	230	1	hence	hence	ADV
cana-513	230	2	by	by	ADP
cana-513	230	3	poincare	poincare	PROPN
cana-513	230	4	-	-	PUNCT
cana-513	230	5	bendixson	bendixson	NOUN
cana-513	230	6	theory	theory	NOUN
cana-513	230	7	,	,	PUNCT
cana-513	230	8	endemic	endemic	ADJ
cana-513	230	9	equilibrium	equilibrium	NOUN
cana-513	230	10	e∗	e∗	NOUN
cana-513	230	11	is	be	AUX
cana-513	230	12	globally	globally	ADV
cana-513	230	13	asymptotically	asymptotically	ADV
cana-513	230	14	stable	stable	ADJ
cana-513	230	15	in	in	ADP
cana-513	230	16	the	the	DET
cana-513	230	17	region	region	NOUN
cana-513	230	18	ω	ω	PROPN
cana-513	230	19	for	for	ADP
cana-513	230	20	the	the	DET
cana-513	230	21	system	system	NOUN
cana-513	230	22	(	(	PUNCT
cana-513	230	23	3	3	NUM
cana-513	230	24	)	)	PUNCT
cana-513	230	25	and	and	CCONJ
cana-513	230	26	hence	hence	ADV
cana-513	230	27	,	,	PUNCT
cana-513	230	28	for	for	ADP
cana-513	230	29	the	the	DET
cana-513	230	30	original	original	ADJ
cana-513	230	31	system	system	NOUN
cana-513	230	32	(	(	PUNCT
cana-513	230	33	1	1	NUM
cana-513	230	34	)	)	PUNCT
cana-513	230	35	.	.	PUNCT
cana-513	231	1	communications	communication	NOUN
cana-513	231	2	on	on	ADP
cana-513	231	3	applied	apply	VERB
cana-513	231	4	nonlinear	nonlinear	ADJ
cana-513	231	5	analysis	analysis	NOUN
cana-513	231	6	issn	issn	NOUN
cana-513	231	7	:	:	PUNCT
cana-513	231	8	1074	1074	NUM
cana-513	231	9	-	-	PUNCT
cana-513	231	10	133x	133x	NUM
cana-513	231	11	vol	vol	NOUN
cana-513	231	12	31	31	NUM
cana-513	231	13	no	no	NOUN
cana-513	231	14	.	.	NOUN
cana-513	231	15	2	2	NUM
cana-513	231	16	(	(	PUNCT
cana-513	231	17	2024	2024	NUM
cana-513	231	18	)	)	PUNCT
cana-513	231	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	231	20	70	70	NUM
cana-513	231	21	0	0	NUM
cana-513	231	22	2	2	NUM
cana-513	231	23	4	4	NUM
cana-513	231	24	6	6	NUM
cana-513	231	25	8	8	NUM
cana-513	231	26	10	10	NUM
cana-513	231	27	0.0	0.0	NUM
cana-513	231	28	0.2	0.2	NUM
cana-513	231	29	0.4	0.4	NUM
cana-513	231	30	0.6	0.6	NUM
cana-513	231	31	0.8	0.8	NUM
cana-513	231	32	1.0	1.0	NUM
cana-513	231	33	awareness	awareness	NOUN
cana-513	231	34	reproduction	reproduction	NOUN
cana-513	231	35	number	number	NOUN
cana-513	231	36	(	(	PUNCT
cana-513	231	37	ra	ra	NOUN
cana-513	231	38	)	)	PUNCT
cana-513	231	39	in	in	ADP
cana-513	231	40	fe	fe	X
cana-513	231	41	ct	ct	NUM
cana-513	231	42	ed	ed	PROPN
cana-513	231	43	f	f	PROPN
cana-513	231	44	ra	ra	PROPN
cana-513	231	45	ct	ct	PROPN
cana-513	231	46	io	io	PROPN
cana-513	231	47	n	n	PROPN
cana-513	231	48	,	,	PUNCT
cana-513	231	49	i	i	PROPN
cana-513	231	50	(	(	PUNCT
cana-513	231	51	t	t	PROPN
cana-513	231	52	)	)	PUNCT
cana-513	231	53	12	12	NUM
cana-513	231	54	12	12	NUM
cana-513	231	55	figure	figure	NOUN
cana-513	231	56	4	4	NUM
cana-513	231	57	:	:	PUNCT
cana-513	231	58	graph	graph	NOUN
cana-513	231	59	showing	show	VERB
cana-513	231	60	the	the	DET
cana-513	231	61	disease	disease	NOUN
cana-513	231	62	free	free	ADJ
cana-513	231	63	equilibrium	equilibrium	NOUN
cana-513	231	64	state	state	NOUN
cana-513	231	65	when	when	SCONJ
cana-513	231	66	ra	ra	PROPN
cana-513	231	67	<	<	X
cana-513	231	68	1	1	NUM
cana-513	231	69	and	and	CCONJ
cana-513	231	70	endemic	endemic	ADJ
cana-513	231	71	equilibrium	equilibrium	NOUN
cana-513	231	72	state	state	NOUN
cana-513	231	73	when	when	SCONJ
cana-513	231	74	ra	ra	PROPN
cana-513	231	75	>	>	X
cana-513	231	76	1	1	NUM
cana-513	231	77	.	.	SYM
cana-513	231	78	4	4	NUM
cana-513	231	79	sensitivity	sensitivity	NOUN
cana-513	231	80	analysis	analysis	NOUN
cana-513	231	81	and	and	CCONJ
cana-513	231	82	numerical	numerical	ADJ
cana-513	231	83	simulations	simulation	NOUN
cana-513	231	84	4.1	4.1	NUM
cana-513	231	85	sensitivity	sensitivity	NOUN
cana-513	231	86	analysis	analysis	NOUN
cana-513	231	87	in	in	ADP
cana-513	231	88	order	order	NOUN
cana-513	231	89	to	to	PART
cana-513	231	90	get	get	VERB
cana-513	231	91	sensitivity	sensitivity	NOUN
cana-513	231	92	analysis	analysis	NOUN
cana-513	231	93	,	,	PUNCT
cana-513	231	94	we	we	PRON
cana-513	231	95	use	use	VERB
cana-513	231	96	parametric	parametric	ADJ
cana-513	231	97	values	value	NOUN
cana-513	231	98	given	give	VERB
cana-513	231	99	in	in	ADP
cana-513	231	100	the	the	DET
cana-513	231	101	table	table	NOUN
cana-513	231	102	2	2	X
cana-513	231	103	.	.	PUNCT
cana-513	232	1	we	we	PRON
cana-513	232	2	perform	perform	VERB
cana-513	232	3	the	the	DET
cana-513	232	4	sensitivity	sensitivity	NOUN
cana-513	232	5	analysis	analysis	NOUN
cana-513	232	6	of	of	ADP
cana-513	232	7	the	the	DET
cana-513	232	8	reproduction	reproduction	NOUN
cana-513	232	9	number	number	NOUN
cana-513	232	10	ra	ra	PROPN
cana-513	232	11	and	and	CCONJ
cana-513	232	12	endemic	endemic	ADJ
cana-513	232	13	equilibrium	equilibrium	NOUN
cana-513	232	14	with	with	ADP
cana-513	232	15	respect	respect	NOUN
cana-513	232	16	to	to	ADP
cana-513	232	17	model	model	NOUN
cana-513	232	18	parameters	parameter	NOUN
cana-513	232	19	.	.	PUNCT
cana-513	233	1	the	the	DET
cana-513	233	2	sensitivity	sensitivity	NOUN
cana-513	233	3	index	index	NOUN
cana-513	233	4	is	be	AUX
cana-513	233	5	given	give	VERB
cana-513	233	6	by	by	ADP
cana-513	233	7	ℵp	ℵp	PROPN
cana-513	233	8	y	y	NOUN
cana-513	233	9	=	=	PUNCT
cana-513	233	10	∂p	∂p	PROPN
cana-513	233	11	∂y	∂y	PUNCT
cana-513	233	12	y	y	PROPN
cana-513	233	13	p	p	PROPN
cana-513	233	14	.	.	PUNCT
cana-513	234	1	sensitivity	sensitivity	NOUN
cana-513	234	2	of	of	ADP
cana-513	234	3	ra	ra	PROPN
cana-513	234	4	to	to	ADP
cana-513	234	5	the	the	DET
cana-513	234	6	parameter	parameter	NOUN
cana-513	234	7	values	value	NOUN
cana-513	234	8	yi	yi	PROPN
cana-513	234	9	are	be	AUX
cana-513	234	10	given	give	VERB
cana-513	234	11	in	in	ADP
cana-513	234	12	the	the	DET
cana-513	234	13	table	table	NOUN
cana-513	234	14	3	3	X
cana-513	234	15	.	.	PUNCT
cana-513	235	1	we	we	PRON
cana-513	235	2	use	use	VERB
cana-513	235	3	numerical	numerical	ADJ
cana-513	235	4	values	value	NOUN
cana-513	235	5	from	from	ADP
cana-513	235	6	table	table	NOUN
cana-513	235	7	2	2	NUM
cana-513	235	8	.	.	PUNCT
cana-513	235	9	parameter	parameter	NOUN
cana-513	235	10	(	(	PUNCT
cana-513	235	11	yi	yi	NOUN
cana-513	235	12	)	)	PUNCT
cana-513	235	13	sensitivity	sensitivity	NOUN
cana-513	235	14	index	index	NOUN
cana-513	235	15	of	of	ADP
cana-513	235	16	ra	ra	PROPN
cana-513	235	17	w.r.t	w.r.t	ADJ
cana-513	235	18	parameter	parameter	PROPN
cana-513	235	19	yi	yi	PROPN
cana-513	235	20	numerical	numerical	PROPN
cana-513	235	21	value	value	PROPN
cana-513	235	22	β	β	PROPN
cana-513	235	23	1	1	NUM
cana-513	235	24	1	1	NUM
cana-513	235	25	λ	λ	NOUN
cana-513	235	26	0	0	NUM
cana-513	235	27	0	0	NUM
cana-513	235	28	c	c	PROPN
cana-513	235	29	−cm	−cm	NUM
cana-513	235	30	0.0231	0.0231	NUM
cana-513	235	31	γ	γ	X
cana-513	235	32	γ	γ	X
cana-513	235	33	γ+µ	γ+µ	X
cana-513	235	34	0.945	0.945	NUM
cana-513	235	35	m0	m0	NOUN
cana-513	235	36	−cm	−cm	ADP
cana-513	235	37	0.0231	0.0231	NUM
cana-513	235	38	table	table	NOUN
cana-513	235	39	3	3	NUM
cana-513	235	40	:	:	PUNCT
cana-513	235	41	sensitivity	sensitivity	NOUN
cana-513	235	42	index	index	NOUN
cana-513	235	43	of	of	ADP
cana-513	235	44	ra	ra	PROPN
cana-513	235	45	for	for	ADP
cana-513	235	46	parametric	parametric	ADJ
cana-513	235	47	values	value	NOUN
cana-513	235	48	.	.	PUNCT
cana-513	236	1	communications	communication	NOUN
cana-513	236	2	on	on	ADP
cana-513	236	3	applied	apply	VERB
cana-513	236	4	nonlinear	nonlinear	ADJ
cana-513	236	5	analysis	analysis	NOUN
cana-513	236	6	issn	issn	NOUN
cana-513	236	7	:	:	PUNCT
cana-513	236	8	1074	1074	NUM
cana-513	236	9	-	-	PUNCT
cana-513	236	10	133x	133x	NUM
cana-513	236	11	vol	vol	NOUN
cana-513	236	12	31	31	NUM
cana-513	236	13	no	no	NOUN
cana-513	236	14	.	.	NOUN
cana-513	236	15	2	2	NUM
cana-513	236	16	(	(	PUNCT
cana-513	236	17	2024	2024	NUM
cana-513	236	18	)	)	PUNCT
cana-513	237	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	237	2	71	71	NUM
cana-513	237	3	0.0	0.0	NUM
cana-513	237	4	0.2	0.2	NUM
cana-513	237	5	0.4	0.4	NUM
cana-513	237	6	0.6	0.6	NUM
cana-513	237	7	0.8	0.8	NUM
cana-513	237	8	1.0	1.0	NUM
cana-513	237	9	1.2	1.2	NUM
cana-513	237	10	1.4	1.4	NUM
cana-513	237	11	0	0	NUM
cana-513	237	12	1	1	NUM
cana-513	237	13	2	2	NUM
cana-513	237	14	3	3	NUM
cana-513	237	15	4	4	NUM
cana-513	237	16	5	5	NUM
cana-513	237	17	6	6	NUM
cana-513	237	18	disease	disease	NOUN
cana-513	237	19	transmission	transmission	NOUN
cana-513	237	20	rate	rate	NOUN
cana-513	237	21	r	r	NOUN
cana-513	237	22	ep	ep	NOUN
cana-513	238	1	ro	ro	PROPN
cana-513	238	2	d	d	X
cana-513	238	3	u	u	X
cana-513	238	4	ct	ct	PROPN
cana-513	238	5	io	io	PROPN
cana-513	238	6	n	n	CCONJ
cana-513	238	7	n	n	CCONJ
cana-513	238	8	u	u	NOUN
cana-513	238	9	m	m	PROPN
cana-513	238	10	b	b	NOUN
cana-513	238	11	er	er	INTJ
cana-513	238	12	(	(	PUNCT
cana-513	238	13	a	a	PROPN
cana-513	238	14	)	)	PUNCT
cana-513	238	15	0.0	0.0	NUM
cana-513	238	16	0.2	0.2	NUM
cana-513	238	17	0.4	0.4	NUM
cana-513	238	18	0.6	0.6	NUM
cana-513	238	19	0.8	0.8	NUM
cana-513	238	20	1.0	1.0	NUM
cana-513	238	21	1.2	1.2	NUM
cana-513	238	22	1.4	1.4	NUM
cana-513	238	23	0	0	NUM
cana-513	238	24	1	1	NUM
cana-513	238	25	2	2	NUM
cana-513	238	26	3	3	NUM
cana-513	238	27	4	4	NUM
cana-513	238	28	5	5	NUM
cana-513	238	29	6	6	NUM
cana-513	238	30	recovery	recovery	NOUN
cana-513	238	31	rate	rate	NOUN
cana-513	238	32	r	r	NOUN
cana-513	238	33	ep	ep	PROPN
cana-513	239	1	ro	ro	PROPN
cana-513	239	2	d	d	X
cana-513	239	3	u	u	X
cana-513	239	4	ct	ct	PROPN
cana-513	239	5	io	io	PROPN
cana-513	239	6	n	n	CCONJ
cana-513	239	7	n	n	CCONJ
cana-513	239	8	u	u	NOUN
cana-513	239	9	m	m	PROPN
cana-513	239	10	b	b	NOUN
cana-513	239	11	er	er	INTJ
cana-513	239	12	(	(	PUNCT
cana-513	239	13	b	b	NOUN
cana-513	239	14	)	)	PUNCT
cana-513	239	15	0.0	0.0	NUM
cana-513	239	16	0.2	0.2	NUM
cana-513	239	17	0.4	0.4	NUM
cana-513	239	18	0.6	0.6	NUM
cana-513	239	19	0.8	0.8	NUM
cana-513	239	20	1.0	1.0	NUM
cana-513	239	21	1.2	1.2	NUM
cana-513	239	22	1.4	1.4	NUM
cana-513	239	23	0	0	NUM
cana-513	239	24	1	1	NUM
cana-513	239	25	2	2	NUM
cana-513	239	26	3	3	NUM
cana-513	239	27	4	4	NUM
cana-513	239	28	5	5	NUM
cana-513	239	29	6	6	NUM
cana-513	239	30	yoga	yoga	NOUN
cana-513	239	31	awareness	awareness	NOUN
cana-513	239	32	coverage	coverage	NOUN
cana-513	239	33	level	level	NOUN
cana-513	239	34	r	r	NOUN
cana-513	239	35	ep	ep	NOUN
cana-513	240	1	ro	ro	PROPN
cana-513	240	2	d	d	X
cana-513	240	3	u	u	X
cana-513	240	4	ct	ct	PROPN
cana-513	240	5	io	io	PROPN
cana-513	240	6	n	n	CCONJ
cana-513	240	7	n	n	CCONJ
cana-513	240	8	u	u	NOUN
cana-513	240	9	m	m	PROPN
cana-513	240	10	b	b	NOUN
cana-513	240	11	er	er	INTJ
cana-513	240	12	(	(	PUNCT
cana-513	240	13	c	c	NOUN
cana-513	240	14	)	)	PUNCT
cana-513	240	15	figure	figure	NOUN
cana-513	240	16	5	5	NUM
cana-513	240	17	:	:	PUNCT
cana-513	240	18	sensitivity	sensitivity	NOUN
cana-513	240	19	indices	index	NOUN
cana-513	240	20	of	of	ADP
cana-513	240	21	the	the	DET
cana-513	240	22	reproduction	reproduction	NOUN
cana-513	240	23	number	number	NOUN
cana-513	240	24	to	to	ADP
cana-513	240	25	the	the	DET
cana-513	240	26	parameter	parameter	NOUN
cana-513	240	27	values	value	NOUN
cana-513	240	28	.	.	PUNCT
cana-513	241	1	sensitivity	sensitivity	NOUN
cana-513	241	2	index	index	NOUN
cana-513	241	3	of	of	ADP
cana-513	241	4	the	the	DET
cana-513	241	5	state	state	NOUN
cana-513	241	6	variables	variable	NOUN
cana-513	241	7	s(t	s(t	PROPN
cana-513	241	8	)	)	PUNCT
cana-513	241	9	,	,	PUNCT
cana-513	241	10	i(t	i(t	PROPN
cana-513	241	11	)	)	PUNCT
cana-513	241	12	,	,	PUNCT
cana-513	241	13	r(t	r(t	NOUN
cana-513	241	14	)	)	PUNCT
cana-513	241	15	to	to	ADP
cana-513	241	16	the	the	DET
cana-513	241	17	parameter	parameter	NOUN
cana-513	241	18	yi	yi	PROPN
cana-513	241	19	where	where	SCONJ
cana-513	241	20	yi	yi	PROPN
cana-513	241	21	are	be	AUX
cana-513	241	22	parameter	parameter	NOUN
cana-513	241	23	values	value	NOUN
cana-513	241	24	mentioned	mention	VERB
cana-513	241	25	in	in	ADP
cana-513	241	26	the	the	DET
cana-513	241	27	table	table	NOUN
cana-513	241	28	2	2	NUM
cana-513	241	29	,	,	PUNCT
cana-513	241	30	are	be	AUX
cana-513	241	31	given	give	VERB
cana-513	241	32	in	in	ADP
cana-513	241	33	the	the	DET
cana-513	241	34	table	table	NOUN
cana-513	241	35	4	4	NUM
cana-513	241	36	.	.	PUNCT
cana-513	241	37	communications	communication	NOUN
cana-513	241	38	on	on	ADP
cana-513	241	39	applied	apply	VERB
cana-513	241	40	nonlinear	nonlinear	ADJ
cana-513	241	41	analysis	analysis	NOUN
cana-513	241	42	issn	issn	NOUN
cana-513	241	43	:	:	PUNCT
cana-513	241	44	1074	1074	NUM
cana-513	241	45	-	-	PUNCT
cana-513	241	46	133x	133x	NUM
cana-513	241	47	vol	vol	NOUN
cana-513	241	48	31	31	NUM
cana-513	241	49	no	no	NOUN
cana-513	241	50	.	.	NOUN
cana-513	241	51	2	2	NUM
cana-513	241	52	(	(	PUNCT
cana-513	241	53	2024	2024	NUM
cana-513	241	54	)	)	PUNCT
cana-513	241	55	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	241	56	72	72	NUM
cana-513	241	57	0.0	0.0	NUM
cana-513	241	58	0.2	0.2	NUM
cana-513	241	59	0.4	0.4	NUM
cana-513	241	60	0.6	0.6	NUM
cana-513	241	61	0.8	0.8	NUM
cana-513	241	62	1.0	1.0	NUM
cana-513	241	63	0	0	NUM
cana-513	241	64	1	1	NUM
cana-513	241	65	2	2	NUM
cana-513	241	66	3	3	NUM
cana-513	241	67	4	4	NUM
cana-513	241	68	5	5	NUM
cana-513	241	69	yoga	yoga	NOUN
cana-513	241	70	aware	aware	ADJ
cana-513	241	71	mass	mass	PROPN
cana-513	241	72	s	s	PART
cana-513	241	73	u	u	X
cana-513	241	74	sc	sc	PROPN
cana-513	241	75	ep	ep	PROPN
cana-513	241	76	ta	ta	PROPN
cana-513	241	77	b	b	PROPN
cana-513	241	78	le	le	X
cana-513	241	79	in	in	ADP
cana-513	241	80	d	d	PROPN
cana-513	241	81	iv	iv	INTJ
cana-513	242	1	i	i	PROPN
cana-513	242	2	d	d	PROPN
cana-513	242	3	u	u	PROPN
cana-513	242	4	al	al	PROPN
cana-513	242	5	s	s	PROPN
cana-513	242	6	(	(	PUNCT
cana-513	242	7	a	a	PRON
cana-513	242	8	)	)	PUNCT
cana-513	242	9	0.0	0.0	NUM
cana-513	242	10	0.2	0.2	NUM
cana-513	242	11	0.4	0.4	NUM
cana-513	242	12	0.6	0.6	NUM
cana-513	242	13	0.8	0.8	NUM
cana-513	242	14	1.0	1.0	NUM
cana-513	242	15	0.0	0.0	NUM
cana-513	242	16	0.2	0.2	NUM
cana-513	242	17	0.4	0.4	NUM
cana-513	242	18	0.6	0.6	NUM
cana-513	242	19	0.8	0.8	NUM
cana-513	242	20	1.0	1.0	NUM
cana-513	242	21	yoga	yoga	NOUN
cana-513	242	22	aware	aware	ADJ
cana-513	242	23	mass	mass	NOUN
cana-513	242	24	in	in	ADP
cana-513	242	25	fe	fe	PROPN
cana-513	242	26	ct	ct	PROPN
cana-513	242	27	ed	ed	NOUN
cana-513	242	28	in	in	ADP
cana-513	242	29	d	d	PROPN
cana-513	242	30	iv	iv	INTJ
cana-513	242	31	i	i	PROPN
cana-513	242	32	d	d	PROPN
cana-513	242	33	u	u	PROPN
cana-513	242	34	al	al	PROPN
cana-513	242	35	s	s	PROPN
cana-513	242	36	(	(	PUNCT
cana-513	242	37	b	b	NOUN
cana-513	242	38	)	)	PUNCT
cana-513	242	39	0.0	0.0	NUM
cana-513	242	40	0.2	0.2	NUM
cana-513	242	41	0.4	0.4	NUM
cana-513	242	42	0.6	0.6	NUM
cana-513	242	43	0.8	0.8	NUM
cana-513	242	44	1.0	1.0	NUM
cana-513	242	45	0.0	0.0	NUM
cana-513	242	46	0.2	0.2	NUM
cana-513	242	47	0.4	0.4	NUM
cana-513	242	48	0.6	0.6	NUM
cana-513	242	49	0.8	0.8	NUM
cana-513	242	50	1.0	1.0	NUM
cana-513	242	51	yoga	yoga	NOUN
cana-513	242	52	aware	aware	ADJ
cana-513	242	53	mass	mass	PROPN
cana-513	242	54	r	r	NOUN
cana-513	242	55	ec	ec	NOUN
cana-513	242	56	o	o	X
cana-513	242	57	ve	ve	AUX
cana-513	242	58	re	re	VERB
cana-513	242	59	d	d	NOUN
cana-513	242	60	in	in	ADP
cana-513	242	61	d	d	PROPN
cana-513	242	62	iv	iv	INTJ
cana-513	242	63	i	i	PROPN
cana-513	242	64	d	d	PROPN
cana-513	242	65	u	u	PROPN
cana-513	242	66	al	al	PROPN
cana-513	242	67	s	s	PROPN
cana-513	242	68	(	(	PUNCT
cana-513	242	69	c	c	NOUN
cana-513	242	70	)	)	PUNCT
cana-513	242	71	figure	figure	NOUN
cana-513	242	72	6	6	NUM
cana-513	242	73	:	:	PUNCT
cana-513	242	74	s(t	s(t	PROPN
cana-513	242	75	)	)	PUNCT
cana-513	242	76	,	,	PUNCT
cana-513	242	77	i(t	i(t	PROPN
cana-513	242	78	)	)	PUNCT
cana-513	242	79	,	,	PUNCT
cana-513	242	80	r(t	r(t	NOUN
cana-513	242	81	)	)	PUNCT
cana-513	242	82	to	to	ADP
cana-513	242	83	the	the	DET
cana-513	242	84	parameter	parameter	NOUN
cana-513	242	85	yoga	yoga	NOUN
cana-513	242	86	awareness	awareness	NOUN
cana-513	242	87	mass	mass	NOUN
cana-513	242	88	(	(	PUNCT
cana-513	242	89	awareness	awareness	NOUN
cana-513	242	90	coverage	coverage	NOUN
cana-513	242	91	level	level	NOUN
cana-513	242	92	)	)	PUNCT
cana-513	242	93	4.2	4.2	NUM
cana-513	242	94	numerical	numerical	ADJ
cana-513	242	95	simulations	simulation	NOUN
cana-513	242	96	in	in	ADP
cana-513	242	97	this	this	DET
cana-513	242	98	section	section	NOUN
cana-513	242	99	,	,	PUNCT
cana-513	242	100	we	we	PRON
cana-513	242	101	investigate	investigate	VERB
cana-513	242	102	the	the	DET
cana-513	242	103	impacts	impact	NOUN
cana-513	242	104	of	of	ADP
cana-513	242	105	the	the	DET
cana-513	242	106	yoga	yoga	NOUN
cana-513	242	107	awareness	awareness	NOUN
cana-513	242	108	on	on	ADP
cana-513	242	109	disease	disease	NOUN
cana-513	242	110	transmission	transmission	NOUN
cana-513	242	111	dynamics	dynamic	NOUN
cana-513	242	112	.	.	PUNCT
cana-513	243	1	we	we	PRON
cana-513	243	2	carry	carry	VERB
cana-513	243	3	out	out	ADP
cana-513	243	4	numerical	numerical	ADJ
cana-513	243	5	simulations	simulation	NOUN
cana-513	243	6	using	use	VERB
cana-513	243	7	the	the	DET
cana-513	243	8	estimated	estimate	VERB
cana-513	243	9	parameter	parameter	NOUN
cana-513	243	10	p	p	NOUN
cana-513	243	11	and	and	CCONJ
cana-513	243	12	the	the	DET
cana-513	243	13	rest	rest	NOUN
cana-513	243	14	of	of	ADP
cana-513	243	15	the	the	DET
cana-513	243	16	baseline	baseline	PROPN
cana-513	243	17	parameter	parameter	NOUN
cana-513	243	18	values	value	NOUN
cana-513	243	19	in	in	ADP
cana-513	243	20	the	the	DET
cana-513	243	21	table	table	NOUN
cana-513	243	22	2	2	NUM
cana-513	243	23	.	.	NUM
cana-513	243	24	figures	figure	NOUN
cana-513	243	25	5	5	NUM
cana-513	243	26	and	and	CCONJ
cana-513	243	27	6	6	NUM
cana-513	243	28	illustrate	illustrate	VERB
cana-513	243	29	the	the	DET
cana-513	243	30	sensicommunications	sensicommunication	NOUN
cana-513	243	31	on	on	ADP
cana-513	243	32	applied	apply	VERB
cana-513	243	33	nonlinear	nonlinear	ADJ
cana-513	243	34	analysis	analysis	NOUN
cana-513	243	35	issn	issn	NOUN
cana-513	243	36	:	:	PUNCT
cana-513	243	37	1074	1074	NUM
cana-513	243	38	-	-	PUNCT
cana-513	243	39	133x	133x	NUM
cana-513	243	40	vol	vol	NOUN
cana-513	243	41	31	31	NUM
cana-513	243	42	no	no	NOUN
cana-513	243	43	.	.	NOUN
cana-513	243	44	2	2	NUM
cana-513	243	45	(	(	PUNCT
cana-513	243	46	2024	2024	NUM
cana-513	243	47	)	)	PUNCT
cana-513	243	48	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	243	49	73	73	NUM
cana-513	243	50	parameter	parameter	NOUN
cana-513	243	51	(	(	PUNCT
cana-513	243	52	yi	yi	NOUN
cana-513	243	53	)	)	PUNCT
cana-513	243	54	ℵs∗	ℵs∗	PUNCT
cana-513	244	1	y	y	PROPN
cana-513	244	2	ℵi∗	ℵi∗	PROPN
cana-513	244	3	y	y	PROPN
cana-513	244	4	ℵr∗	ℵr∗	NOUN
cana-513	244	5	y	y	PROPN
cana-513	244	6	β	β	X
cana-513	244	7	-1	-1	PUNCT
cana-513	244	8	0.00417	0.00417	NUM
cana-513	244	9	0.028166	0.028166	NUM
cana-513	244	10	λ	λ	NOUN
cana-513	244	11	0	0	NUM
cana-513	244	12	0.2506	0.2506	NUM
cana-513	244	13	-1.5325	-1.5325	VERB
cana-513	244	14	c	c	NOUN
cana-513	244	15	0.01155	0.01155	NUM
cana-513	244	16	0.03967	0.03967	NUM
cana-513	244	17	0.01072	0.01072	NUM
cana-513	244	18	γ	γ	NOUN
cana-513	244	19	0.909	0.909	NUM
cana-513	244	20	-0.000172	-0.000172	NOUN
cana-513	244	21	-0.00642	-0.00642	ADJ
cana-513	244	22	table	table	NOUN
cana-513	244	23	4	4	NUM
cana-513	244	24	:	:	PUNCT
cana-513	244	25	sensitivity	sensitivity	NOUN
cana-513	244	26	index	index	NOUN
cana-513	244	27	of	of	ADP
cana-513	244	28	state	state	NOUN
cana-513	244	29	variables	variable	NOUN
cana-513	244	30	s∗	s∗	PROPN
cana-513	244	31	,	,	PUNCT
cana-513	244	32	i∗,r∗	i∗,r∗	PROPN
cana-513	244	33	w.r.t	w.r.t	VERB
cana-513	244	34	parameters	parameter	NOUN
cana-513	244	35	β	β	X
cana-513	244	36	,	,	PUNCT
cana-513	244	37	λ	λ	PROPN
cana-513	244	38	,	,	PUNCT
cana-513	244	39	c	c	X
cana-513	244	40	,	,	PUNCT
cana-513	244	41	γ	γ	PROPN
cana-513	244	42	.	.	PROPN
cana-513	244	43	50	50	NUM
cana-513	244	44	100	100	NUM
cana-513	244	45	150	150	NUM
cana-513	244	46	200	200	NUM
cana-513	244	47	250	250	NUM
cana-513	244	48	300	300	NUM
cana-513	244	49	350	350	NUM
cana-513	244	50	t	t	NOUN
cana-513	244	51	0.56	0.56	NUM
cana-513	244	52	0.58	0.58	NUM
cana-513	244	53	0.60	0.60	NUM
cana-513	244	54	0.62	0.62	NUM
cana-513	244	55	s(t	s(t	NUM
cana-513	244	56	)	)	PUNCT
cana-513	244	57	(	(	PUNCT
cana-513	244	58	a	a	X
cana-513	244	59	)	)	PUNCT
cana-513	244	60	50	50	NUM
cana-513	244	61	100	100	NUM
cana-513	244	62	150	150	NUM
cana-513	244	63	200	200	NUM
cana-513	244	64	250	250	NUM
cana-513	244	65	300	300	NUM
cana-513	244	66	350	350	NUM
cana-513	244	67	t	t	NOUN
cana-513	244	68	0.12	0.12	NUM
cana-513	244	69	0.14	0.14	NUM
cana-513	244	70	0.16	0.16	NUM
cana-513	244	71	0.18	0.18	NUM
cana-513	244	72	0.20	0.20	NUM
cana-513	244	73	i(t	i(t	NOUN
cana-513	244	74	)	)	PUNCT
cana-513	244	75	(	(	PUNCT
cana-513	244	76	b	b	X
cana-513	244	77	)	)	PUNCT
cana-513	244	78	50	50	NUM
cana-513	244	79	100	100	NUM
cana-513	244	80	150	150	NUM
cana-513	244	81	200	200	NUM
cana-513	244	82	250	250	NUM
cana-513	244	83	300	300	NUM
cana-513	244	84	350	350	NUM
cana-513	244	85	t	t	NOUN
cana-513	244	86	0.20	0.20	NUM
cana-513	244	87	0.22	0.22	NUM
cana-513	244	88	0.24	0.24	NUM
cana-513	244	89	0.26	0.26	NUM
cana-513	244	90	0.28	0.28	NUM
cana-513	244	91	0.30	0.30	NUM
cana-513	244	92	r(t	r(t	NOUN
cana-513	244	93	)	)	PUNCT
cana-513	244	94	(	(	PUNCT
cana-513	244	95	c	c	X
cana-513	244	96	)	)	PUNCT
cana-513	244	97	50	50	NUM
cana-513	244	98	100	100	NUM
cana-513	244	99	150	150	NUM
cana-513	244	100	200	200	NUM
cana-513	244	101	250	250	NUM
cana-513	244	102	300	300	NUM
cana-513	244	103	350	350	NUM
cana-513	244	104	t	t	NOUN
cana-513	244	105	0.1	0.1	NUM
cana-513	244	106	0.2	0.2	NUM
cana-513	244	107	0.3	0.3	NUM
cana-513	244	108	0.4	0.4	NUM
cana-513	244	109	0.5	0.5	NUM
cana-513	244	110	0.6	0.6	NUM
cana-513	244	111	density	density	NOUN
cana-513	244	112	r(t	r(t	NOUN
cana-513	244	113	)	)	PUNCT
cana-513	244	114	i(t	i(t	PROPN
cana-513	244	115	)	)	PUNCT
cana-513	244	116	s(t	s(t	PROPN
cana-513	244	117	)	)	PUNCT
cana-513	244	118	(	(	PUNCT
cana-513	244	119	d	d	X
cana-513	244	120	)	)	PUNCT
cana-513	244	121	0	0	NUM
cana-513	245	1	50	50	NUM
cana-513	245	2	100	100	NUM
cana-513	245	3	150	150	NUM
cana-513	245	4	200	200	NUM
cana-513	245	5	250	250	NUM
cana-513	245	6	300	300	NUM
cana-513	245	7	350	350	NUM
cana-513	245	8	0.0	0.0	NUM
cana-513	245	9	0.2	0.2	NUM
cana-513	245	10	0.4	0.4	NUM
cana-513	245	11	0.6	0.6	NUM
cana-513	245	12	0.8	0.8	NUM
cana-513	245	13	1.0	1.0	NUM
cana-513	245	14	time	time	NOUN
cana-513	245	15	(	(	PUNCT
cana-513	245	16	t	t	NOUN
cana-513	245	17	)	)	PUNCT
cana-513	245	18	d	d	NOUN
cana-513	245	19	en	en	ADP
cana-513	245	20	si	si	X
cana-513	245	21	ty	ty	NUM
cana-513	245	22	r(t	r(t	NOUN
cana-513	245	23	)	)	PUNCT
cana-513	245	24	i(t	i(t	PROPN
cana-513	245	25	)	)	PUNCT
cana-513	245	26	s(t	s(t	PROPN
cana-513	245	27	)	)	PUNCT
cana-513	245	28	(	(	PUNCT
cana-513	245	29	e	e	NOUN
cana-513	245	30	)	)	PUNCT
cana-513	245	31	figure	figure	NOUN
cana-513	245	32	7	7	NUM
cana-513	245	33	:	:	PUNCT
cana-513	245	34	plot	plot	NOUN
cana-513	245	35	of	of	ADP
cana-513	245	36	state	state	NOUN
cana-513	245	37	variables	variable	NOUN
cana-513	245	38	with	with	ADP
cana-513	245	39	time	time	NOUN
cana-513	245	40	.	.	PUNCT
cana-513	246	1	tivity	tivity	NOUN
cana-513	246	2	of	of	ADP
cana-513	246	3	reproduction	reproduction	NOUN
cana-513	246	4	number	number	NOUN
cana-513	246	5	to	to	ADP
cana-513	246	6	parameters	parameter	NOUN
cana-513	246	7	resulting	result	VERB
cana-513	246	8	dynamics	dynamic	NOUN
cana-513	246	9	of	of	ADP
cana-513	246	10	yoga	yoga	NOUN
cana-513	246	11	awareness	awareness	NOUN
cana-513	246	12	effect	effect	NOUN
cana-513	246	13	term	term	NOUN
cana-513	246	14	is	be	AUX
cana-513	246	15	based	base	VERB
cana-513	246	16	on	on	ADP
cana-513	246	17	theory	theory	NOUN
cana-513	246	18	.	.	PUNCT
cana-513	247	1	the	the	DET
cana-513	247	2	graphs	graph	NOUN
cana-513	247	3	in	in	ADP
cana-513	247	4	the	the	DET
cana-513	247	5	figure	figure	NOUN
cana-513	247	6	7	7	NUM
cana-513	247	7	illustrate	illustrate	VERB
cana-513	247	8	the	the	DET
cana-513	247	9	dynamics	dynamic	NOUN
cana-513	247	10	of	of	ADP
cana-513	247	11	susceptible	susceptible	ADJ
cana-513	247	12	,	,	PUNCT
cana-513	247	13	communications	communication	NOUN
cana-513	247	14	on	on	ADP
cana-513	247	15	applied	apply	VERB
cana-513	247	16	nonlinear	nonlinear	ADJ
cana-513	247	17	analysis	analysis	NOUN
cana-513	247	18	issn	issn	NOUN
cana-513	247	19	:	:	PUNCT
cana-513	247	20	1074	1074	NUM
cana-513	247	21	-	-	PUNCT
cana-513	247	22	133x	133x	NUM
cana-513	247	23	vol	vol	NOUN
cana-513	247	24	31	31	NUM
cana-513	247	25	no	no	NOUN
cana-513	247	26	.	.	NOUN
cana-513	247	27	2	2	NUM
cana-513	247	28	(	(	PUNCT
cana-513	247	29	2024	2024	NUM
cana-513	247	30	)	)	PUNCT
cana-513	247	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	248	1	74	74	NUM
cana-513	248	2	0.0	0.0	NUM
cana-513	248	3	0.2	0.2	NUM
cana-513	248	4	0.4	0.4	NUM
cana-513	248	5	0.6	0.6	NUM
cana-513	248	6	0.8	0.8	NUM
cana-513	248	7	0.0	0.0	NUM
cana-513	248	8	0.2	0.2	NUM
cana-513	248	9	0.4	0.4	NUM
cana-513	248	10	0.6	0.6	NUM
cana-513	248	11	0.8	0.8	NUM
cana-513	248	12	1.0	1.0	NUM
cana-513	248	13	γ	γ	X
cana-513	248	14	c	c	X
cana-513	248	15	(	(	PUNCT
cana-513	248	16	a	a	X
cana-513	248	17	)	)	PUNCT
cana-513	248	18	1	1	NUM
cana-513	248	19	3	3	NUM
cana-513	248	20	5	5	NUM
cana-513	248	21	7	7	NUM
cana-513	248	22	0.0	0.0	NUM
cana-513	248	23	0.2	0.2	NUM
cana-513	248	24	0.4	0.4	NUM
cana-513	248	25	0.6	0.6	NUM
cana-513	248	26	0.8	0.8	NUM
cana-513	248	27	0.2	0.2	NUM
cana-513	248	28	0.4	0.4	NUM
cana-513	248	29	0.6	0.6	NUM
cana-513	248	30	0.8	0.8	NUM
cana-513	248	31	1.0	1.0	NUM
cana-513	248	32	β	β	X
cana-513	248	33	c	c	X
cana-513	248	34	(	(	PUNCT
cana-513	248	35	b	b	NOUN
cana-513	248	36	)	)	PUNCT
cana-513	248	37	0.2	0.2	NUM
cana-513	248	38	0.4	0.4	NUM
cana-513	248	39	0.6	0.6	NUM
cana-513	248	40	0.8	0.8	NUM
cana-513	248	41	1.0	1.0	NUM
cana-513	248	42	1.2	1.2	NUM
cana-513	248	43	figure	figure	NOUN
cana-513	248	44	8	8	NUM
cana-513	248	45	:	:	PUNCT
cana-513	248	46	contour	contour	NOUN
cana-513	248	47	plot	plot	NOUN
cana-513	248	48	of	of	ADP
cana-513	248	49	reproduction	reproduction	NOUN
cana-513	248	50	number	number	NOUN
cana-513	248	51	with	with	ADP
cana-513	248	52	parameters	parameter	NOUN
cana-513	248	53	.	.	PUNCT
cana-513	249	1	0.0	0.0	NUM
cana-513	249	2	0.2	0.2	NUM
cana-513	249	3	0.4	0.4	NUM
cana-513	249	4	0.6	0.6	NUM
cana-513	249	5	0.8	0.8	NUM
cana-513	249	6	0.0	0.0	NUM
cana-513	249	7	0.2	0.2	NUM
cana-513	249	8	0.4	0.4	NUM
cana-513	249	9	0.6	0.6	NUM
cana-513	249	10	0.8	0.8	NUM
cana-513	249	11	1.0	1.0	NUM
cana-513	249	12	μ	μ	NUM
cana-513	249	13	c	c	NOUN
cana-513	249	14	0.6	0.6	NUM
cana-513	249	15	0.8	0.8	NUM
cana-513	249	16	1.0	1.0	NUM
cana-513	249	17	1.2	1.2	NUM
cana-513	249	18	1.4	1.4	NUM
cana-513	249	19	figure	figure	NOUN
cana-513	249	20	9	9	NUM
cana-513	249	21	:	:	PUNCT
cana-513	249	22	contour	contour	NOUN
cana-513	249	23	plot	plot	NOUN
cana-513	249	24	of	of	ADP
cana-513	249	25	reproduction	reproduction	NOUN
cana-513	249	26	number	number	NOUN
cana-513	249	27	with	with	ADP
cana-513	249	28	parameters	parameter	NOUN
cana-513	249	29	.	.	PUNCT
cana-513	250	1	infected	infected	ADJ
cana-513	250	2	and	and	CCONJ
cana-513	250	3	recovered	recover	VERB
cana-513	250	4	individuals	individual	NOUN
cana-513	250	5	and	and	CCONJ
cana-513	250	6	their	their	PRON
cana-513	250	7	rate	rate	NOUN
cana-513	250	8	of	of	ADP
cana-513	250	9	change	change	NOUN
cana-513	250	10	.	.	PUNCT
cana-513	251	1	figure	figure	VERB
cana-513	251	2	7	7	NUM
cana-513	251	3	(	(	PUNCT
cana-513	251	4	d	d	NOUN
cana-513	251	5	)	)	PUNCT
cana-513	251	6	,	,	PUNCT
cana-513	251	7	and	and	CCONJ
cana-513	251	8	(	(	PUNCT
cana-513	251	9	e	e	NOUN
cana-513	251	10	)	)	PUNCT
cana-513	251	11	both	both	PRON
cana-513	251	12	illustrates	illustrate	VERB
cana-513	251	13	density	density	NOUN
cana-513	251	14	plot	plot	NOUN
cana-513	251	15	of	of	ADP
cana-513	251	16	susceptible	susceptible	ADJ
cana-513	251	17	,	,	PUNCT
cana-513	251	18	infected	infected	ADJ
cana-513	251	19	,	,	PUNCT
cana-513	251	20	and	and	CCONJ
cana-513	251	21	recovered	recover	VERB
cana-513	251	22	individuals	individual	NOUN
cana-513	251	23	which	which	PRON
cana-513	251	24	shows	show	VERB
cana-513	251	25	that	that	SCONJ
cana-513	251	26	yoga	yoga	NOUN
cana-513	251	27	awareness	awareness	NOUN
cana-513	251	28	coverage	coverage	NOUN
cana-513	251	29	mass	mass	NOUN
cana-513	251	30	reduces	reduce	VERB
cana-513	251	31	susceptibility	susceptibility	NOUN
cana-513	251	32	and	and	CCONJ
cana-513	251	33	infectivity	infectivity	NOUN
cana-513	251	34	.	.	PUNCT
cana-513	252	1	we	we	PRON
cana-513	252	2	use	use	VERB
cana-513	252	3	c	c	NOUN
cana-513	252	4	=	=	SYM
cana-513	252	5	0.5	0.5	NUM
cana-513	252	6	and	and	CCONJ
cana-513	252	7	1	1	NUM
cana-513	252	8	on	on	ADP
cana-513	252	9	disease	disease	NOUN
cana-513	252	10	dynamics	dynamic	NOUN
cana-513	252	11	to	to	PART
cana-513	252	12	illustrate	illustrate	VERB
cana-513	252	13	incidence	incidence	NOUN
cana-513	252	14	and	and	CCONJ
cana-513	252	15	cumulative	cumulative	ADJ
cana-513	252	16	incidence	incidence	NOUN
cana-513	252	17	of	of	ADP
cana-513	252	18	disease	disease	NOUN
cana-513	252	19	dynamics	dynamic	NOUN
cana-513	252	20	.	.	PUNCT
cana-513	253	1	the	the	PRON
cana-513	253	2	higher	high	ADJ
cana-513	253	3	the	the	DET
cana-513	253	4	yoga	yoga	NOUN
cana-513	253	5	awareness	awareness	NOUN
cana-513	253	6	coverage	coverage	NOUN
cana-513	253	7	,	,	PUNCT
cana-513	253	8	the	the	PRON
cana-513	253	9	smaller	small	ADJ
cana-513	253	10	the	the	DET
cana-513	253	11	slopes	slope	NOUN
cana-513	253	12	of	of	ADP
cana-513	253	13	epidemic	epidemic	NOUN
cana-513	253	14	curves	curve	NOUN
cana-513	253	15	in	in	ADP
cana-513	253	16	the	the	DET
cana-513	253	17	results	result	NOUN
cana-513	253	18	of	of	ADP
cana-513	253	19	the	the	DET
cana-513	253	20	model	model	NOUN
cana-513	253	21	.	.	PUNCT
cana-513	254	1	the	the	DET
cana-513	254	2	yoga	yoga	NOUN
cana-513	254	3	awareness	awareness	NOUN
cana-513	254	4	coverage	coverage	NOUN
cana-513	254	5	term	term	NOUN
cana-513	254	6	is	be	AUX
cana-513	254	7	displayed	display	VERB
cana-513	254	8	in	in	ADP
cana-513	254	9	contour	contour	NOUN
cana-513	254	10	diagram	diagram	NOUN
cana-513	254	11	in	in	ADP
cana-513	254	12	the	the	DET
cana-513	254	13	figure	figure	NOUN
cana-513	254	14	9	9	NUM
cana-513	254	15	.	.	PUNCT
cana-513	255	1	the	the	DET
cana-513	255	2	overall	overall	ADJ
cana-513	255	3	results	result	NOUN
cana-513	255	4	are	be	AUX
cana-513	255	5	almost	almost	ADV
cana-513	255	6	identical	identical	ADJ
cana-513	255	7	to	to	ADP
cana-513	255	8	the	the	DET
cana-513	255	9	results	result	NOUN
cana-513	255	10	in	in	ADP
cana-513	255	11	the	the	DET
cana-513	255	12	figure	figure	NOUN
cana-513	255	13	communications	communication	NOUN
cana-513	255	14	on	on	ADP
cana-513	255	15	applied	apply	VERB
cana-513	255	16	nonlinear	nonlinear	ADJ
cana-513	255	17	analysis	analysis	NOUN
cana-513	255	18	issn	issn	NOUN
cana-513	255	19	:	:	PUNCT
cana-513	255	20	1074	1074	NUM
cana-513	255	21	-	-	PUNCT
cana-513	255	22	133x	133x	NUM
cana-513	255	23	vol	vol	NOUN
cana-513	255	24	31	31	NUM
cana-513	255	25	no	no	NOUN
cana-513	255	26	.	.	NOUN
cana-513	255	27	2	2	NUM
cana-513	255	28	(	(	PUNCT
cana-513	255	29	2024	2024	NUM
cana-513	255	30	)	)	PUNCT
cana-513	255	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	255	32	75	75	NUM
cana-513	255	33	7	7	NUM
cana-513	255	34	,	,	PUNCT
cana-513	255	35	which	which	PRON
cana-513	255	36	means	mean	VERB
cana-513	255	37	that	that	SCONJ
cana-513	255	38	the	the	DET
cana-513	255	39	yoga	yoga	NOUN
cana-513	255	40	awareness	awareness	NOUN
cana-513	255	41	effect	effect	NOUN
cana-513	255	42	term	term	NOUN
cana-513	255	43	in	in	ADP
cana-513	255	44	the	the	DET
cana-513	255	45	model	model	NOUN
cana-513	255	46	effectively	effectively	ADV
cana-513	255	47	captures	capture	VERB
cana-513	255	48	the	the	DET
cana-513	255	49	yoga	yoga	NOUN
cana-513	255	50	aware	aware	ADJ
cana-513	255	51	effect	effect	NOUN
cana-513	255	52	that	that	PRON
cana-513	255	53	manifests	manifest	VERB
cana-513	255	54	in	in	ADP
cana-513	255	55	real	real	ADJ
cana-513	255	56	world	world	NOUN
cana-513	255	57	data	datum	NOUN
cana-513	255	58	.	.	PUNCT
cana-513	256	1	5	5	NUM
cana-513	256	2	discussion	discussion	NOUN
cana-513	256	3	and	and	CCONJ
cana-513	256	4	conclusion	conclusion	NOUN
cana-513	256	5	5.1	5.1	NUM
cana-513	256	6	discussion	discussion	NOUN
cana-513	256	7	awareness	awareness	NOUN
cana-513	256	8	plays	play	VERB
cana-513	256	9	a	a	DET
cana-513	256	10	vital	vital	ADJ
cana-513	256	11	role	role	NOUN
cana-513	256	12	in	in	ADP
cana-513	256	13	modern	modern	ADJ
cana-513	256	14	societies	society	NOUN
cana-513	256	15	,	,	PUNCT
cana-513	256	16	which	which	PRON
cana-513	256	17	is	be	AUX
cana-513	256	18	also	also	ADV
cana-513	256	19	the	the	DET
cana-513	256	20	case	case	NOUN
cana-513	256	21	when	when	SCONJ
cana-513	256	22	it	it	PRON
cana-513	256	23	comes	come	VERB
cana-513	256	24	to	to	ADP
cana-513	256	25	communicable	communicable	NOUN
cana-513	256	26	disease	disease	NOUN
cana-513	256	27	.	.	PUNCT
cana-513	257	1	as	as	SCONJ
cana-513	257	2	societies	society	NOUN
cana-513	257	3	become	become	VERB
cana-513	257	4	larger	large	ADJ
cana-513	257	5	and	and	CCONJ
cana-513	257	6	more	more	ADV
cana-513	257	7	diversified	diversified	ADJ
cana-513	257	8	,	,	PUNCT
cana-513	257	9	an	an	DET
cana-513	257	10	individual	individual	NOUN
cana-513	257	11	is	be	AUX
cana-513	257	12	hardly	hardly	ADV
cana-513	257	13	able	able	ADJ
cana-513	257	14	to	to	PART
cana-513	257	15	obtain	obtain	VERB
cana-513	257	16	enough	enough	ADJ
cana-513	257	17	correct	correct	ADJ
cana-513	257	18	information	information	NOUN
cana-513	257	19	about	about	ADP
cana-513	257	20	the	the	DET
cana-513	257	21	communicable	communicable	NOUN
cana-513	257	22	disease	disease	NOUN
cana-513	257	23	and	and	CCONJ
cana-513	257	24	art	art	NOUN
cana-513	257	25	of	of	ADP
cana-513	257	26	living	living	NOUN
cana-513	257	27	.	.	PUNCT
cana-513	258	1	in	in	ADP
cana-513	258	2	modern	modern	ADJ
cana-513	258	3	medicine	medicine	NOUN
cana-513	258	4	system	system	NOUN
cana-513	258	5	,	,	PUNCT
cana-513	258	6	the	the	DET
cana-513	258	7	medical	medical	ADJ
cana-513	258	8	physician	physician	NOUN
cana-513	258	9	treats	treat	VERB
cana-513	258	10	the	the	DET
cana-513	258	11	body	body	NOUN
cana-513	258	12	of	of	ADP
cana-513	258	13	patients	patient	NOUN
cana-513	258	14	,	,	PUNCT
cana-513	258	15	the	the	DET
cana-513	258	16	social	social	ADJ
cana-513	258	17	worker	worker	NOUN
cana-513	258	18	attends	attend	VERB
cana-513	258	19	to	to	ADP
cana-513	258	20	their	their	PRON
cana-513	258	21	emotions	emotion	NOUN
cana-513	258	22	and	and	CCONJ
cana-513	258	23	social	social	ADJ
cana-513	258	24	relations	relation	NOUN
cana-513	258	25	,	,	PUNCT
cana-513	258	26	while	while	SCONJ
cana-513	258	27	the	the	DET
cana-513	258	28	yoga	yoga	NOUN
cana-513	258	29	sadhaka	sadhaka	NOUN
cana-513	258	30	counselor	counselor	NOUN
cana-513	258	31	provides	provide	VERB
cana-513	258	32	guidance	guidance	NOUN
cana-513	258	33	for	for	ADP
cana-513	258	34	meaningful	meaningful	ADJ
cana-513	258	35	and	and	CCONJ
cana-513	258	36	purposeful	purposeful	ADJ
cana-513	258	37	life	life	NOUN
cana-513	258	38	.	.	PUNCT
cana-513	259	1	body	body	NOUN
cana-513	259	2	,	,	PUNCT
cana-513	259	3	mind	mind	NOUN
cana-513	259	4	,	,	PUNCT
cana-513	259	5	cognition	cognition	NOUN
cana-513	259	6	,	,	PUNCT
cana-513	259	7	emotion	emotion	NOUN
cana-513	259	8	and	and	CCONJ
cana-513	259	9	spirituality	spirituality	NOUN
cana-513	259	10	are	be	AUX
cana-513	259	11	seen	see	VERB
cana-513	259	12	as	as	ADP
cana-513	259	13	discrete	discrete	ADJ
cana-513	259	14	entities	entity	NOUN
cana-513	259	15	.	.	PUNCT
cana-513	260	1	eastern	eastern	ADJ
cana-513	260	2	philosophies	philosophy	NOUN
cana-513	260	3	of	of	ADP
cana-513	260	4	buddhism	buddhism	NOUN
cana-513	260	5	,	,	PUNCT
cana-513	260	6	hinduism	hinduism	NOUN
cana-513	260	7	and	and	CCONJ
cana-513	260	8	traditional	traditional	ADJ
cana-513	260	9	chinese	chinese	ADJ
cana-513	260	10	medicine	medicine	NOUN
cana-513	260	11	adopt	adopt	VERB
cana-513	260	12	a	a	DET
cana-513	260	13	holistic	holistic	ADJ
cana-513	260	14	conceptualization	conceptualization	NOUN
cana-513	260	15	of	of	ADP
cana-513	260	16	an	an	DET
cana-513	260	17	individual	individual	NOUN
cana-513	260	18	and	and	CCONJ
cana-513	260	19	his	his	PRON
cana-513	260	20	or	or	CCONJ
cana-513	260	21	her	her	PRON
cana-513	260	22	environment	environment	NOUN
cana-513	260	23	.	.	PUNCT
cana-513	261	1	in	in	ADP
cana-513	261	2	this	this	DET
cana-513	261	3	view	view	NOUN
cana-513	261	4	,	,	PUNCT
cana-513	261	5	health	health	NOUN
cana-513	261	6	is	be	AUX
cana-513	261	7	perceived	perceive	VERB
cana-513	261	8	as	as	ADP
cana-513	261	9	a	a	DET
cana-513	261	10	harmonious	harmonious	ADJ
cana-513	261	11	equilibrium	equilibrium	NOUN
cana-513	261	12	that	that	PRON
cana-513	261	13	exists	exist	VERB
cana-513	261	14	between	between	ADP
cana-513	261	15	individuals	individual	NOUN
cana-513	261	16	and	and	CCONJ
cana-513	261	17	external	external	ADJ
cana-513	261	18	environment	environment	NOUN
cana-513	261	19	.	.	PUNCT
cana-513	262	1	basically	basically	ADV
cana-513	262	2	,	,	PUNCT
cana-513	262	3	ashthanga	ashthanga	NOUN
cana-513	262	4	yoga	yoga	NOUN
cana-513	262	5	acts	act	NOUN
cana-513	262	6	as	as	ADP
cana-513	262	7	guidelines	guideline	NOUN
cana-513	262	8	on	on	ADP
cana-513	262	9	how	how	SCONJ
cana-513	262	10	to	to	PART
cana-513	262	11	live	live	VERB
cana-513	262	12	self	self	NOUN
cana-513	262	13	-	-	PUNCT
cana-513	262	14	disciplined	discipline	VERB
cana-513	262	15	life	life	NOUN
cana-513	262	16	[	[	X
cana-513	262	17	22	22	NUM
cana-513	262	18	]	]	PUNCT
cana-513	262	19	.	.	PUNCT
cana-513	263	1	in	in	ADP
cana-513	263	2	the	the	DET
cana-513	263	3	yoga	yoga	NOUN
cana-513	263	4	sutra	sutra	NOUN
cana-513	263	5	,	,	PUNCT
cana-513	263	6	sag	sag	PROPN
cana-513	263	7	patanjali	patanjali	PROPN
cana-513	263	8	described	describe	VERB
cana-513	263	9	pranayama	pranayama	NOUN
cana-513	263	10	as	as	ADP
cana-513	263	11	life	life	NOUN
cana-513	263	12	force	force	NOUN
cana-513	263	13	extension	extension	NOUN
cana-513	263	14	.	.	PUNCT
cana-513	264	1	it	it	PRON
cana-513	264	2	gains	gain	VERB
cana-513	264	3	mastery	mastery	NOUN
cana-513	264	4	over	over	ADP
cana-513	264	5	the	the	DET
cana-513	264	6	respiratory	respiratory	ADJ
cana-513	264	7	process	process	NOUN
cana-513	264	8	recognizing	recognize	VERB
cana-513	264	9	the	the	DET
cana-513	264	10	connection	connection	NOUN
cana-513	264	11	between	between	ADP
cana-513	264	12	the	the	DET
cana-513	264	13	breath	breath	NOUN
cana-513	264	14	,	,	PUNCT
cana-513	264	15	the	the	DET
cana-513	264	16	mind	mind	NOUN
cana-513	264	17	,	,	PUNCT
cana-513	264	18	and	and	CCONJ
cana-513	264	19	the	the	DET
cana-513	264	20	emotions	emotion	NOUN
cana-513	264	21	.	.	PUNCT
cana-513	265	1	it	it	PRON
cana-513	265	2	is	be	AUX
cana-513	265	3	believed	believe	VERB
cana-513	265	4	that	that	SCONJ
cana-513	265	5	yoga	yoga	NOUN
cana-513	265	6	not	not	PART
cana-513	265	7	only	only	ADV
cana-513	265	8	refreshes	refresh	VERB
cana-513	265	9	the	the	DET
cana-513	265	10	body	body	NOUN
cana-513	265	11	but	but	CCONJ
cana-513	265	12	also	also	ADV
cana-513	265	13	extends	extend	VERB
cana-513	265	14	life	life	NOUN
cana-513	265	15	itself	itself	PRON
cana-513	266	1	[	[	X
cana-513	266	2	1	1	NUM
cana-513	266	3	]	]	PUNCT
cana-513	266	4	.	.	PUNCT
cana-513	267	1	nowadays	nowadays	ADV
cana-513	267	2	,	,	PUNCT
cana-513	267	3	people	people	NOUN
cana-513	267	4	practice	practice	VERB
cana-513	267	5	pranayama	pranayama	NOUN
cana-513	267	6	not	not	PART
cana-513	267	7	only	only	ADV
cana-513	267	8	as	as	ADP
cana-513	267	9	an	an	DET
cana-513	267	10	isolated	isolated	ADJ
cana-513	267	11	technique	technique	NOUN
cana-513	267	12	(	(	PUNCT
cana-513	267	13	i.e.	i.e.	X
cana-513	267	14	,	,	PUNCT
cana-513	267	15	simply	simply	ADV
cana-513	267	16	sitting	sit	VERB
cana-513	267	17	and	and	CCONJ
cana-513	267	18	performing	perform	VERB
cana-513	267	19	a	a	DET
cana-513	267	20	number	number	NOUN
cana-513	267	21	of	of	ADP
cana-513	267	22	breathing	breathing	NOUN
cana-513	267	23	exercises	exercise	NOUN
cana-513	267	24	)	)	PUNCT
cana-513	267	25	,	,	PUNCT
cana-513	267	26	but	but	CCONJ
cana-513	267	27	also	also	ADV
cana-513	267	28	as	as	ADP
cana-513	267	29	an	an	DET
cana-513	267	30	integration	integration	NOUN
cana-513	267	31	daily	daily	ADJ
cana-513	267	32	life	life	NOUN
cana-513	267	33	routine	routine	NOUN
cana-513	267	34	.	.	PUNCT
cana-513	268	1	in	in	ADP
cana-513	268	2	this	this	DET
cana-513	268	3	article	article	NOUN
cana-513	268	4	,	,	PUNCT
cana-513	268	5	we	we	PRON
cana-513	268	6	have	have	AUX
cana-513	268	7	mentioned	mention	VERB
cana-513	268	8	yoga	yoga	NOUN
cana-513	268	9	awareness	awareness	NOUN
cana-513	268	10	as	as	ADP
cana-513	268	11	control	control	NOUN
cana-513	268	12	strategy	strategy	NOUN
cana-513	268	13	that	that	PRON
cana-513	268	14	considers	consider	VERB
cana-513	268	15	yoga	yoga	NOUN
cana-513	268	16	is	be	AUX
cana-513	268	17	not	not	PART
cana-513	268	18	only	only	ADV
cana-513	268	19	asana	asana	NOUN
cana-513	268	20	and	and	CCONJ
cana-513	268	21	pranayama	pranayama	NOUN
cana-513	268	22	,	,	PUNCT
cana-513	268	23	but	but	CCONJ
cana-513	268	24	a	a	DET
cana-513	268	25	way	way	NOUN
cana-513	268	26	of	of	ADP
cana-513	268	27	living	live	VERB
cana-513	268	28	healthy	healthy	ADJ
cana-513	268	29	life	life	NOUN
cana-513	268	30	.	.	PUNCT
cana-513	269	1	good	good	ADJ
cana-513	269	2	health	health	NOUN
cana-513	269	3	depends	depend	VERB
cana-513	269	4	on	on	ADP
cana-513	269	5	the	the	DET
cana-513	269	6	long	long	ADJ
cana-513	269	7	term	term	NOUN
cana-513	269	8	commitment	commitment	NOUN
cana-513	269	9	and	and	CCONJ
cana-513	269	10	the	the	DET
cana-513	269	11	foundation	foundation	NOUN
cana-513	269	12	for	for	ADP
cana-513	269	13	that	that	DET
cana-513	269	14	needs	need	NOUN
cana-513	269	15	to	to	PART
cana-513	269	16	be	be	AUX
cana-513	269	17	built	build	VERB
cana-513	269	18	on	on	ADP
cana-513	269	19	four	four	NUM
cana-513	269	20	important	important	ADJ
cana-513	269	21	pillars	pillar	NOUN
cana-513	269	22	(	(	PUNCT
cana-513	269	23	yoga	yoga	NOUN
cana-513	269	24	awareness	awareness	NOUN
cana-513	269	25	)	)	PUNCT
cana-513	269	26	ahar	ahar	NOUN
cana-513	269	27	(	(	PUNCT
cana-513	269	28	food	food	NOUN
cana-513	269	29	)	)	PUNCT
cana-513	269	30	,	,	PUNCT
cana-513	269	31	vihar	vihar	PROPN
cana-513	269	32	(	(	PUNCT
cana-513	269	33	relaxation	relaxation	NOUN
cana-513	269	34	)	)	PUNCT
cana-513	269	35	,	,	PUNCT
cana-513	269	36	achar	achar	PROPN
cana-513	269	37	(	(	PUNCT
cana-513	269	38	routines	routine	NOUN
cana-513	269	39	)	)	PUNCT
cana-513	269	40	,	,	PUNCT
cana-513	269	41	vichar	vichar	NOUN
cana-513	269	42	(	(	PUNCT
cana-513	269	43	thoughts	thought	NOUN
cana-513	269	44	)	)	PUNCT
cana-513	269	45	which	which	PRON
cana-513	269	46	is	be	AUX
cana-513	269	47	supported	support	VERB
cana-513	269	48	by	by	ADP
cana-513	269	49	who	who	PRON
cana-513	269	50	’s	’	VERB
cana-513	269	51	definition	definition	NOUN
cana-513	269	52	that	that	SCONJ
cana-513	269	53	health	health	NOUN
cana-513	269	54	is	be	AUX
cana-513	269	55	a	a	DET
cana-513	269	56	state	state	NOUN
cana-513	269	57	of	of	ADP
cana-513	269	58	physical	physical	ADJ
cana-513	269	59	,	,	PUNCT
cana-513	269	60	mental	mental	ADJ
cana-513	269	61	,	,	PUNCT
cana-513	269	62	and	and	CCONJ
cana-513	269	63	social	social	ADJ
cana-513	269	64	well	well	ADV
cana-513	269	65	-	-	PUNCT
cana-513	269	66	being	being	NOUN
cana-513	269	67	.	.	PUNCT
cana-513	270	1	so	so	ADV
cana-513	270	2	,	,	PUNCT
cana-513	270	3	we	we	PRON
cana-513	270	4	have	have	AUX
cana-513	270	5	integrated	integrate	VERB
cana-513	270	6	the	the	DET
cana-513	270	7	model	model	NOUN
cana-513	270	8	which	which	PRON
cana-513	270	9	significommunications	significommunication	NOUN
cana-513	270	10	on	on	ADP
cana-513	270	11	applied	apply	VERB
cana-513	270	12	nonlinear	nonlinear	ADJ
cana-513	270	13	analysis	analysis	NOUN
cana-513	270	14	issn	issn	NOUN
cana-513	270	15	:	:	PUNCT
cana-513	270	16	1074	1074	NUM
cana-513	270	17	-	-	PUNCT
cana-513	270	18	133x	133x	NUM
cana-513	270	19	vol	vol	NOUN
cana-513	270	20	31	31	NUM
cana-513	270	21	no	no	NOUN
cana-513	270	22	.	.	NOUN
cana-513	270	23	2	2	NUM
cana-513	270	24	(	(	PUNCT
cana-513	270	25	2024	2024	NUM
cana-513	270	26	)	)	PUNCT
cana-513	270	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	270	28	76	76	NUM
cana-513	270	29	cantly	cantly	ADV
cana-513	270	30	improves	improve	VERB
cana-513	270	31	physical	physical	ADJ
cana-513	270	32	,	,	PUNCT
cana-513	270	33	mental	mental	ADJ
cana-513	270	34	,	,	PUNCT
cana-513	270	35	and	and	CCONJ
cana-513	270	36	social	social	ADJ
cana-513	270	37	health	health	NOUN
cana-513	270	38	.	.	PUNCT
cana-513	271	1	yoga	yoga	NOUN
cana-513	271	2	sadhak	sadhak	PROPN
cana-513	271	3	(	(	PUNCT
cana-513	271	4	yoga	yoga	NOUN
cana-513	271	5	guru	guru	NOUN
cana-513	271	6	)	)	PUNCT
cana-513	271	7	provides	provide	VERB
cana-513	271	8	information	information	NOUN
cana-513	271	9	in	in	ADP
cana-513	271	10	yoga	yoga	NOUN
cana-513	271	11	centers	center	NOUN
cana-513	271	12	and	and	CCONJ
cana-513	271	13	individuals	individual	NOUN
cana-513	271	14	alter	alter	VERB
cana-513	271	15	their	their	PRON
cana-513	271	16	behaviors	behavior	NOUN
cana-513	271	17	based	base	VERB
cana-513	271	18	on	on	ADP
cana-513	271	19	that	that	DET
cana-513	271	20	information	information	NOUN
cana-513	271	21	.	.	PUNCT
cana-513	272	1	in	in	ADP
cana-513	272	2	this	this	DET
cana-513	272	3	regard	regard	NOUN
cana-513	272	4	,	,	PUNCT
cana-513	272	5	it	it	PRON
cana-513	272	6	is	be	AUX
cana-513	272	7	proper	proper	ADJ
cana-513	272	8	to	to	PART
cana-513	272	9	assume	assume	VERB
cana-513	272	10	that	that	SCONJ
cana-513	272	11	yoga	yoga	NOUN
cana-513	272	12	awareness	awareness	NOUN
cana-513	272	13	coverage	coverage	NOUN
cana-513	272	14	might	might	AUX
cana-513	272	15	have	have	VERB
cana-513	272	16	an	an	DET
cana-513	272	17	influence	influence	NOUN
cana-513	272	18	on	on	ADP
cana-513	272	19	infectious	infectious	ADJ
cana-513	272	20	disease	disease	NOUN
cana-513	272	21	dynamics	dynamic	NOUN
cana-513	272	22	.	.	PUNCT
cana-513	273	1	concerning	concern	VERB
cana-513	273	2	the	the	DET
cana-513	273	3	yoga	yoga	NOUN
cana-513	273	4	effect	effect	NOUN
cana-513	273	5	,	,	PUNCT
cana-513	273	6	previous	previous	ADJ
cana-513	273	7	studies	study	NOUN
cana-513	273	8	have	have	AUX
cana-513	273	9	suggested	suggest	VERB
cana-513	273	10	a	a	DET
cana-513	273	11	variety	variety	NOUN
cana-513	273	12	of	of	ADP
cana-513	273	13	results	result	NOUN
cana-513	273	14	[	[	X
cana-513	273	15	23–25	23–25	NUM
cana-513	273	16	]	]	PUNCT
cana-513	273	17	.	.	PUNCT
cana-513	274	1	in	in	ADP
cana-513	274	2	these	these	DET
cana-513	274	3	studies	study	NOUN
cana-513	274	4	,	,	PUNCT
cana-513	274	5	relationship	relationship	NOUN
cana-513	274	6	between	between	ADP
cana-513	274	7	yoga	yoga	NOUN
cana-513	274	8	practice	practice	NOUN
cana-513	274	9	and	and	CCONJ
cana-513	274	10	health	health	NOUN
cana-513	274	11	(	(	PUNCT
cana-513	274	12	subjective	subjective	ADJ
cana-513	274	13	well	well	ADV
cana-513	274	14	-	-	PUNCT
cana-513	274	15	being	being	NOUN
cana-513	274	16	,	,	PUNCT
cana-513	274	17	diet	diet	NOUN
cana-513	274	18	,	,	PUNCT
cana-513	274	19	smoking	smoking	NOUN
cana-513	274	20	,	,	PUNCT
cana-513	274	21	alcohol	alcohol	NOUN
cana-513	274	22	/	/	SYM
cana-513	274	23	caffeine	caffeine	NOUN
cana-513	274	24	consumption	consumption	NOUN
cana-513	274	25	,	,	PUNCT
cana-513	274	26	sleep	sleep	NOUN
cana-513	274	27	,	,	PUNCT
cana-513	274	28	stress	stress	NOUN
cana-513	274	29	,	,	PUNCT
cana-513	274	30	social	social	ADJ
cana-513	274	31	support	support	NOUN
cana-513	274	32	,	,	PUNCT
cana-513	274	33	mindfulness	mindfulness	NOUN
cana-513	274	34	)	)	PUNCT
cana-513	274	35	were	be	AUX
cana-513	274	36	studied	study	VERB
cana-513	274	37	and	and	CCONJ
cana-513	274	38	found	find	VERB
cana-513	274	39	that	that	SCONJ
cana-513	274	40	yoga	yoga	NOUN
cana-513	274	41	practice	practice	NOUN
cana-513	274	42	had	have	AUX
cana-513	274	43	changed	change	VERB
cana-513	274	44	health	health	NOUN
cana-513	274	45	better	well	ADV
cana-513	274	46	.	.	PUNCT
cana-513	275	1	different	different	ADJ
cana-513	275	2	physical	physical	ADJ
cana-513	275	3	poses	pose	NOUN
cana-513	275	4	and	and	CCONJ
cana-513	275	5	yoga	yoga	NOUN
cana-513	275	6	techniques	technique	NOUN
cana-513	275	7	may	may	AUX
cana-513	275	8	have	have	VERB
cana-513	275	9	unique	unique	ADJ
cana-513	275	10	health	health	NOUN
cana-513	275	11	benefits	benefit	NOUN
cana-513	275	12	.	.	PUNCT
cana-513	276	1	these	these	DET
cana-513	276	2	research	research	NOUN
cana-513	276	3	motivated	motivate	VERB
cana-513	276	4	us	we	PRON
cana-513	276	5	in	in	ADP
cana-513	276	6	this	this	DET
cana-513	276	7	research	research	NOUN
cana-513	276	8	.	.	PUNCT
cana-513	277	1	nowadays	nowadays	ADV
cana-513	277	2	,	,	PUNCT
cana-513	277	3	though	though	SCONJ
cana-513	277	4	the	the	DET
cana-513	277	5	medical	medical	ADJ
cana-513	277	6	hypotheses	hypothesis	NOUN
cana-513	277	7	and	and	CCONJ
cana-513	277	8	underlying	underlying	ADJ
cana-513	277	9	mechanisms	mechanism	NOUN
cana-513	277	10	of	of	ADP
cana-513	277	11	yoga	yoga	NOUN
cana-513	277	12	are	be	AUX
cana-513	277	13	infrequently	infrequently	ADV
cana-513	277	14	discussed	discuss	VERB
cana-513	277	15	,	,	PUNCT
cana-513	277	16	the	the	DET
cana-513	277	17	participation	participation	NOUN
cana-513	277	18	in	in	ADP
cana-513	277	19	yoga	yoga	NOUN
cana-513	277	20	related	relate	VERB
cana-513	277	21	activities	activity	NOUN
cana-513	277	22	are	be	AUX
cana-513	277	23	increasing	increase	VERB
cana-513	277	24	worldwide	worldwide	ADV
cana-513	277	25	.	.	PUNCT
cana-513	278	1	yoga	yoga	NOUN
cana-513	278	2	’s	’s	PART
cana-513	278	3	effect	effect	NOUN
cana-513	278	4	on	on	ADP
cana-513	278	5	prevention	prevention	NOUN
cana-513	278	6	of	of	ADP
cana-513	278	7	disease	disease	NOUN
cana-513	278	8	was	be	AUX
cana-513	278	9	qualitatively	qualitatively	ADV
cana-513	278	10	studied	study	VERB
cana-513	278	11	in	in	ADP
cana-513	278	12	these	these	DET
cana-513	278	13	previous	previous	ADJ
cana-513	278	14	researches	research	NOUN
cana-513	278	15	.	.	PUNCT
cana-513	279	1	empirical	empirical	ADJ
cana-513	279	2	evidences	evidence	NOUN
cana-513	279	3	and	and	CCONJ
cana-513	279	4	theories	theory	NOUN
cana-513	279	5	for	for	ADP
cana-513	279	6	yoga	yoga	NOUN
cana-513	279	7	mechanisms	mechanism	NOUN
cana-513	279	8	were	be	AUX
cana-513	279	9	studied	study	VERB
cana-513	279	10	qualitatively	qualitatively	ADV
cana-513	279	11	in	in	ADP
cana-513	279	12	the	the	DET
cana-513	279	13	areas	area	NOUN
cana-513	279	14	of	of	ADP
cana-513	279	15	hormonal	hormonal	ADJ
cana-513	279	16	regulation	regulation	NOUN
cana-513	279	17	,	,	PUNCT
cana-513	279	18	sympathetic	sympathetic	ADJ
cana-513	279	19	activity	activity	NOUN
cana-513	279	20	in	in	ADP
cana-513	279	21	the	the	DET
cana-513	279	22	nervous	nervous	ADJ
cana-513	279	23	system	system	NOUN
cana-513	279	24	and	and	CCONJ
cana-513	279	25	the	the	DET
cana-513	279	26	betterment	betterment	NOUN
cana-513	279	27	of	of	ADP
cana-513	279	28	physical	physical	ADJ
cana-513	279	29	health	health	NOUN
cana-513	279	30	attributes	attribute	VERB
cana-513	279	31	such	such	ADJ
cana-513	279	32	as	as	ADP
cana-513	279	33	strength	strength	NOUN
cana-513	279	34	and	and	CCONJ
cana-513	279	35	cardio	cardio	NOUN
cana-513	279	36	respiratory	respiratory	ADJ
cana-513	279	37	health	health	NOUN
cana-513	279	38	,	,	PUNCT
cana-513	279	39	flexibility	flexibility	NOUN
cana-513	279	40	,	,	PUNCT
cana-513	279	41	improved	improved	ADJ
cana-513	279	42	balance	balance	NOUN
cana-513	279	43	.	.	PUNCT
cana-513	280	1	hypothetical	hypothetical	ADJ
cana-513	280	2	effects	effect	NOUN
cana-513	280	3	of	of	ADP
cana-513	280	4	yoga	yoga	NOUN
cana-513	280	5	on	on	ADP
cana-513	280	6	metabolism	metabolism	NOUN
cana-513	280	7	,	,	PUNCT
cana-513	280	8	circulation	circulation	NOUN
cana-513	280	9	,	,	PUNCT
cana-513	280	10	behavior	behavior	NOUN
cana-513	280	11	change	change	NOUN
cana-513	280	12	,	,	PUNCT
cana-513	280	13	oxidative	oxidative	ADJ
cana-513	280	14	stress	stress	NOUN
cana-513	280	15	,	,	PUNCT
cana-513	280	16	inflammation	inflammation	VERB
cana-513	280	17	a	a	DET
cana-513	280	18	nd	nd	NOUN
cana-513	280	19	p	p	NOUN
cana-513	280	20	sychological	sychological	ADJ
cana-513	280	21	thought	thought	NOUN
cana-513	280	22	processes	process	NOUN
cana-513	280	23	were	be	AUX
cana-513	280	24	also	also	ADV
cana-513	280	25	examined	examine	VERB
cana-513	281	1	[	[	X
cana-513	281	2	26–28	26–28	NUM
cana-513	281	3	]	]	PUNCT
cana-513	281	4	.	.	PUNCT
cana-513	282	1	katiyar	katiyar	PROPN
cana-513	282	2	,	,	PUNCT
cana-513	282	3	v.	v.	PROPN
cana-513	282	4	k.	k.	PROPN
cana-513	282	5	,	,	PUNCT
cana-513	282	6	and	and	CCONJ
cana-513	282	7	pradhan	pradhan	PROPN
cana-513	282	8	,	,	PUNCT
cana-513	283	1	p.	p.	NOUN
cana-513	284	1	[	[	X
cana-513	284	2	29	29	NUM
cana-513	284	3	]	]	PUNCT
cana-513	284	4	studied	study	VERB
cana-513	284	5	on	on	ADP
cana-513	284	6	modeling	modeling	NOUN
cana-513	284	7	of	of	ADP
cana-513	284	8	the	the	DET
cana-513	284	9	breath	breath	NOUN
cana-513	284	10	which	which	PRON
cana-513	284	11	we	we	PRON
cana-513	284	12	all	all	PRON
cana-513	284	13	intake	intake	NOUN
cana-513	284	14	(	(	PUNCT
cana-513	284	15	pranic	pranic	ADJ
cana-513	284	16	bodies	body	NOUN
cana-513	284	17	)	)	PUNCT
cana-513	284	18	using	use	VERB
cana-513	284	19	a	a	DET
cana-513	284	20	mathematical	mathematical	ADJ
cana-513	284	21	model	model	NOUN
cana-513	284	22	for	for	ADP
cana-513	284	23	different	different	ADJ
cana-513	284	24	breathing	breathing	NOUN
cana-513	284	25	pattern	pattern	NOUN
cana-513	284	26	and	and	CCONJ
cana-513	284	27	there	there	ADV
cana-513	284	28	steady	steady	ADJ
cana-513	284	29	state	state	NOUN
cana-513	284	30	equation	equation	NOUN
cana-513	284	31	.	.	PUNCT
cana-513	285	1	they	they	PRON
cana-513	285	2	have	have	AUX
cana-513	285	3	discussed	discuss	VERB
cana-513	285	4	a	a	DET
cana-513	285	5	compartment	compartment	NOUN
cana-513	285	6	model	model	NOUN
cana-513	285	7	of	of	ADP
cana-513	285	8	breath	breath	NOUN
cana-513	285	9	function	function	NOUN
cana-513	285	10	from	from	ADP
cana-513	285	11	lungs	lung	NOUN
cana-513	285	12	to	to	ADP
cana-513	285	13	tissues	tissue	NOUN
cana-513	285	14	analytically	analytically	ADV
cana-513	285	15	.	.	PUNCT
cana-513	286	1	similar	similar	ADJ
cana-513	286	2	to	to	ADP
cana-513	286	3	that	that	PRON
cana-513	286	4	we	we	PRON
cana-513	286	5	have	have	AUX
cana-513	286	6	considered	consider	VERB
cana-513	286	7	effect	effect	NOUN
cana-513	286	8	of	of	ADP
cana-513	286	9	yoga	yoga	NOUN
cana-513	286	10	on	on	ADP
cana-513	286	11	transmission	transmission	NOUN
cana-513	286	12	rate	rate	NOUN
cana-513	286	13	and	and	CCONJ
cana-513	286	14	one	one	NUM
cana-513	286	15	of	of	ADP
cana-513	286	16	the	the	DET
cana-513	286	17	key	key	ADJ
cana-513	286	18	results	result	NOUN
cana-513	286	19	is	be	AUX
cana-513	286	20	that	that	SCONJ
cana-513	286	21	the	the	DET
cana-513	286	22	yoga	yoga	NOUN
cana-513	286	23	awareness	awareness	NOUN
cana-513	286	24	affects	affect	VERB
cana-513	286	25	the	the	DET
cana-513	286	26	transmission	transmission	NOUN
cana-513	286	27	rate	rate	NOUN
cana-513	286	28	β	β	NOUN
cana-513	286	29	.	.	PUNCT
cana-513	287	1	it	it	PRON
cana-513	287	2	influences	influence	VERB
cana-513	287	3	on	on	ADP
cana-513	287	4	reproduction	reproduction	NOUN
cana-513	287	5	number	number	NOUN
cana-513	287	6	ra	ra	PROPN
cana-513	287	7	.	.	PUNCT
cana-513	288	1	when	when	SCONJ
cana-513	288	2	ra	ra	PROPN
cana-513	288	3	is	be	AUX
cana-513	288	4	less	less	ADJ
cana-513	288	5	than	than	ADP
cana-513	288	6	1	1	NUM
cana-513	288	7	,	,	PUNCT
cana-513	288	8	the	the	DET
cana-513	288	9	disease	disease	NOUN
cana-513	288	10	-	-	PUNCT
cana-513	288	11	free	free	ADJ
cana-513	288	12	equilibrium	equilibrium	NOUN
cana-513	288	13	is	be	AUX
cana-513	288	14	stable	stable	ADJ
cana-513	288	15	and	and	CCONJ
cana-513	288	16	when	when	SCONJ
cana-513	288	17	ra	ra	PROPN
cana-513	288	18	is	be	AUX
cana-513	288	19	greater	great	ADJ
cana-513	288	20	than	than	ADP
cana-513	288	21	1	1	NUM
cana-513	288	22	,	,	PUNCT
cana-513	288	23	in	in	ADP
cana-513	288	24	contrast	contrast	NOUN
cana-513	288	25	,	,	PUNCT
cana-513	288	26	the	the	DET
cana-513	288	27	endemic	endemic	ADJ
cana-513	288	28	equilibrium	equilibrium	NOUN
cana-513	288	29	is	be	AUX
cana-513	288	30	stable	stable	ADJ
cana-513	288	31	.	.	PUNCT
cana-513	289	1	yoga	yoga	NOUN
cana-513	289	2	awareness	awareness	NOUN
cana-513	289	3	leads	lead	VERB
cana-513	289	4	to	to	PART
cana-513	289	5	decelerate	decelerate	VERB
cana-513	289	6	the	the	DET
cana-513	289	7	spread	spread	NOUN
cana-513	289	8	of	of	ADP
cana-513	289	9	a	a	DET
cana-513	289	10	disease	disease	NOUN
cana-513	289	11	.	.	PUNCT
cana-513	290	1	in	in	ADP
cana-513	290	2	line	line	NOUN
cana-513	290	3	the	the	DET
cana-513	290	4	these	these	DET
cana-513	290	5	studies	study	NOUN
cana-513	290	6	,	,	PUNCT
cana-513	290	7	we	we	PRON
cana-513	290	8	have	have	AUX
cana-513	290	9	modeled	model	VERB
cana-513	290	10	real	real	ADJ
cana-513	290	11	phenomenon	phenomenon	NOUN
cana-513	290	12	of	of	ADP
cana-513	290	13	disease	disease	NOUN
cana-513	290	14	transmission	transmission	NOUN
cana-513	290	15	mathematically	mathematically	ADV
cana-513	290	16	.	.	PUNCT
cana-513	291	1	this	this	DET
cana-513	291	2	present	present	ADJ
cana-513	291	3	study	study	NOUN
cana-513	291	4	investigates	investigate	VERB
cana-513	291	5	how	how	SCONJ
cana-513	291	6	the	the	DET
cana-513	291	7	yoga	yoga	NOUN
cana-513	291	8	communications	communication	NOUN
cana-513	291	9	on	on	ADP
cana-513	291	10	applied	apply	VERB
cana-513	291	11	nonlinear	nonlinear	ADJ
cana-513	291	12	analysis	analysis	NOUN
cana-513	291	13	issn	issn	NOUN
cana-513	291	14	:	:	PUNCT
cana-513	291	15	1074	1074	NUM
cana-513	291	16	-	-	PUNCT
cana-513	291	17	133x	133x	NUM
cana-513	291	18	vol	vol	NOUN
cana-513	291	19	31	31	NUM
cana-513	291	20	no	no	NOUN
cana-513	291	21	.	.	NOUN
cana-513	291	22	2	2	NUM
cana-513	291	23	(	(	PUNCT
cana-513	291	24	2024	2024	NUM
cana-513	291	25	)	)	PUNCT
cana-513	291	26	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	291	27	77	77	NUM
cana-513	291	28	awareness	awareness	NOUN
cana-513	291	29	affects	affect	VERB
cana-513	291	30	disease	disease	NOUN
cana-513	291	31	transmission	transmission	NOUN
cana-513	291	32	dynamics	dynamic	NOUN
cana-513	291	33	by	by	ADP
cana-513	291	34	incorporating	incorporate	VERB
cana-513	291	35	the	the	DET
cana-513	291	36	yoga	yoga	NOUN
cana-513	291	37	awareness	awareness	NOUN
cana-513	291	38	effect	effect	NOUN
cana-513	291	39	term	term	NOUN
cana-513	291	40	into	into	ADP
cana-513	291	41	the	the	DET
cana-513	291	42	mathematical	mathematical	ADJ
cana-513	291	43	model	model	NOUN
cana-513	291	44	.	.	PUNCT
cana-513	292	1	we	we	PRON
cana-513	292	2	estimated	estimate	VERB
cana-513	292	3	yoga	yoga	NOUN
cana-513	292	4	awareness	awareness	NOUN
cana-513	292	5	coverage	coverage	NOUN
cana-513	292	6	term	term	NOUN
cana-513	292	7	via	via	ADP
cana-513	292	8	least	least	ADJ
cana-513	292	9	-	-	PUNCT
cana-513	292	10	square	square	NOUN
cana-513	292	11	fitting	fitting	NOUN
cana-513	292	12	of	of	ADP
cana-513	292	13	the	the	DET
cana-513	292	14	model	model	NOUN
cana-513	292	15	to	to	ADP
cana-513	292	16	the	the	DET
cana-513	292	17	cumulative	cumulative	ADJ
cana-513	292	18	number	number	NOUN
cana-513	292	19	of	of	ADP
cana-513	292	20	yoga	yoga	NOUN
cana-513	292	21	aware	aware	ADJ
cana-513	292	22	people	people	NOUN
cana-513	292	23	and	and	CCONJ
cana-513	292	24	yoga	yoga	NOUN
cana-513	292	25	awareness	awareness	NOUN
cana-513	292	26	infected	infect	VERB
cana-513	292	27	mass	mass	NOUN
cana-513	292	28	from	from	ADP
cana-513	292	29	yoga	yoga	NOUN
cana-513	292	30	centers	center	NOUN
cana-513	292	31	.	.	PUNCT
cana-513	293	1	what	what	PRON
cana-513	293	2	makes	make	VERB
cana-513	293	3	our	our	PRON
cana-513	293	4	study	study	NOUN
cana-513	293	5	distinct	distinct	ADJ
cana-513	293	6	is	be	AUX
cana-513	293	7	that	that	SCONJ
cana-513	293	8	the	the	DET
cana-513	293	9	incorporated	incorporated	ADJ
cana-513	293	10	yoga	yoga	NOUN
cana-513	293	11	awareness	awareness	NOUN
cana-513	293	12	effect	effect	NOUN
cana-513	293	13	term	term	NOUN
cana-513	293	14	comes	come	VERB
cana-513	293	15	from	from	ADP
cana-513	293	16	the	the	DET
cana-513	293	17	awareness	awareness	NOUN
cana-513	293	18	coverage	coverage	NOUN
cana-513	293	19	data	datum	NOUN
cana-513	293	20	as	as	ADV
cana-513	293	21	well	well	ADV
cana-513	293	22	as	as	ADP
cana-513	293	23	from	from	ADP
cana-513	293	24	the	the	DET
cana-513	293	25	theory	theory	NOUN
cana-513	293	26	based	base	VERB
cana-513	293	27	on	on	ADP
cana-513	293	28	previous	previous	ADJ
cana-513	293	29	studies	study	NOUN
cana-513	293	30	.	.	PUNCT
cana-513	294	1	results	result	NOUN
cana-513	294	2	of	of	ADP
cana-513	294	3	numerical	numerical	ADJ
cana-513	294	4	simulation	simulation	PROPN
cana-513	294	5	suggested	suggest	VERB
cana-513	294	6	that	that	SCONJ
cana-513	294	7	the	the	DET
cana-513	294	8	yoga	yoga	NOUN
cana-513	294	9	awareness	awareness	NOUN
cana-513	294	10	can	can	AUX
cana-513	294	11	have	have	VERB
cana-513	294	12	a	a	DET
cana-513	294	13	positive	positive	ADJ
cana-513	294	14	influence	influence	NOUN
cana-513	294	15	on	on	ADP
cana-513	294	16	disease	disease	NOUN
cana-513	294	17	dynamics	dynamic	NOUN
cana-513	294	18	,	,	PUNCT
cana-513	294	19	more	more	ADJ
cana-513	294	20	yoga	yoga	NOUN
cana-513	294	21	awareness	awareness	NOUN
cana-513	294	22	coverage	coverage	NOUN
cana-513	294	23	may	may	AUX
cana-513	294	24	lead	lead	VERB
cana-513	294	25	to	to	ADP
cana-513	294	26	a	a	DET
cana-513	294	27	reduced	reduce	VERB
cana-513	294	28	infectivity	infectivity	NOUN
cana-513	294	29	and	and	CCONJ
cana-513	294	30	epidemic	epidemic	NOUN
cana-513	294	31	size	size	NOUN
cana-513	294	32	of	of	ADP
cana-513	294	33	disease	disease	NOUN
cana-513	294	34	.	.	PUNCT
cana-513	295	1	our	our	PRON
cana-513	295	2	results	result	NOUN
cana-513	295	3	highlight	highlight	VERB
cana-513	295	4	that	that	SCONJ
cana-513	295	5	the	the	DET
cana-513	295	6	theory	theory	NOUN
cana-513	295	7	-	-	PUNCT
cana-513	295	8	based	base	VERB
cana-513	295	9	and	and	CCONJ
cana-513	295	10	data	data	NOUN
cana-513	295	11	-	-	PUNCT
cana-513	295	12	based	base	VERB
cana-513	295	13	yoga	yoga	NOUN
cana-513	295	14	awareness	awareness	NOUN
cana-513	295	15	effect	effect	NOUN
cana-513	295	16	terms	term	NOUN
cana-513	295	17	have	have	VERB
cana-513	295	18	almost	almost	ADV
cana-513	295	19	the	the	DET
cana-513	295	20	same	same	ADJ
cana-513	295	21	influence	influence	NOUN
cana-513	295	22	o	o	NOUN
cana-513	295	23	n	n	ADP
cana-513	295	24	t	t	X
cana-513	296	1	he	he	PRON
cana-513	296	2	d	d	NOUN
cana-513	296	3	isease	isease	NOUN
cana-513	297	1	d	d	NOUN
cana-513	297	2	ynamics	ynamic	NOUN
cana-513	297	3	u	u	PRON
cana-513	297	4	nder	nd	ADJ
cana-513	297	5	t	t	PROPN
cana-513	298	1	he	he	PRON
cana-513	298	2	p	p	NOUN
cana-513	298	3	arameters	arameter	NOUN
cana-513	298	4	t	t	PROPN
cana-513	298	5	hat	hat	NOUN
cana-513	298	6	w	w	NOUN
cana-513	298	7	e	e	PROPN
cana-513	298	8	have	have	AUX
cana-513	298	9	considered	consider	VERB
cana-513	298	10	.	.	PUNCT
cana-513	299	1	however	however	ADV
cana-513	299	2	,	,	PUNCT
cana-513	299	3	the	the	DET
cana-513	299	4	results	result	NOUN
cana-513	299	5	may	may	AUX
cana-513	299	6	be	be	AUX
cana-513	299	7	different	different	ADJ
cana-513	299	8	for	for	ADP
cana-513	299	9	highly	highly	ADV
cana-513	299	10	transmissible	transmissible	ADJ
cana-513	299	11	diseases	disease	NOUN
cana-513	299	12	.	.	PUNCT
cana-513	300	1	this	this	PRON
cana-513	300	2	suggests	suggest	VERB
cana-513	300	3	that	that	SCONJ
cana-513	300	4	further	far	ADV
cana-513	300	5	modeling	modeling	NOUN
cana-513	300	6	efforts	effort	NOUN
cana-513	300	7	need	need	VERB
cana-513	300	8	to	to	PART
cana-513	300	9	be	be	AUX
cana-513	300	10	grounded	ground	VERB
cana-513	300	11	in	in	ADP
cana-513	300	12	real	real	ADJ
cana-513	300	13	-	-	PUNCT
cana-513	300	14	world	world	NOUN
cana-513	300	15	knowledge	knowledge	NOUN
cana-513	300	16	.	.	PUNCT
cana-513	301	1	it	it	PRON
cana-513	301	2	becomes	become	VERB
cana-513	301	3	critical	critical	ADJ
cana-513	301	4	to	to	PART
cana-513	301	5	understand	understand	VERB
cana-513	301	6	the	the	DET
cana-513	301	7	complex	complex	ADJ
cana-513	301	8	interplay	interplay	NOUN
cana-513	301	9	between	between	ADP
cana-513	301	10	yoga	yoga	NOUN
cana-513	301	11	awareness	awareness	NOUN
cana-513	301	12	attention	attention	NOUN
cana-513	301	13	,	,	PUNCT
cana-513	301	14	risk	risk	NOUN
cana-513	301	15	perception	perception	NOUN
cana-513	301	16	,	,	PUNCT
cana-513	301	17	behavior	behavior	NOUN
cana-513	301	18	changes	change	NOUN
cana-513	301	19	and	and	CCONJ
cana-513	301	20	the	the	DET
cana-513	301	21	transmission	transmission	NOUN
cana-513	301	22	dynamics	dynamic	NOUN
cana-513	301	23	of	of	ADP
cana-513	301	24	infectious	infectious	ADJ
cana-513	301	25	diseases	disease	NOUN
cana-513	301	26	.	.	PUNCT
cana-513	302	1	more	more	ADJ
cana-513	302	2	work	work	NOUN
cana-513	302	3	can	can	AUX
cana-513	302	4	be	be	AUX
cana-513	302	5	done	do	VERB
cana-513	302	6	regarding	regard	VERB
cana-513	302	7	the	the	DET
cana-513	302	8	effect	effect	NOUN
cana-513	302	9	of	of	ADP
cana-513	302	10	yoga	yoga	NOUN
cana-513	302	11	awareness	awareness	NOUN
cana-513	302	12	on	on	ADP
cana-513	302	13	infectious	infectious	ADJ
cana-513	302	14	diseases	disease	NOUN
cana-513	302	15	:	:	PUNCT
cana-513	302	16	first	first	ADV
cana-513	302	17	,	,	PUNCT
cana-513	302	18	the	the	DET
cana-513	302	19	individual	individual	ADJ
cana-513	302	20	diversity	diversity	NOUN
cana-513	302	21	of	of	ADP
cana-513	302	22	yoga	yoga	NOUN
cana-513	302	23	awareness	awareness	NOUN
cana-513	302	24	credibility	credibility	NOUN
cana-513	302	25	can	can	AUX
cana-513	302	26	be	be	AUX
cana-513	302	27	explored	explore	VERB
cana-513	302	28	.	.	PUNCT
cana-513	303	1	since	since	SCONJ
cana-513	303	2	it	it	PRON
cana-513	303	3	might	might	AUX
cana-513	303	4	be	be	AUX
cana-513	303	5	the	the	DET
cana-513	303	6	case	case	NOUN
cana-513	303	7	that	that	SCONJ
cana-513	303	8	individuals	individual	NOUN
cana-513	303	9	do	do	AUX
cana-513	303	10	not	not	PART
cana-513	303	11	believe	believe	VERB
cana-513	303	12	yoga	yoga	NOUN
cana-513	303	13	awareness	awareness	NOUN
cana-513	303	14	coverage	coverage	NOUN
cana-513	303	15	to	to	ADP
cana-513	303	16	the	the	DET
cana-513	303	17	same	same	ADJ
cana-513	303	18	degree	degree	NOUN
cana-513	303	19	,	,	PUNCT
cana-513	303	20	incorporating	incorporate	VERB
cana-513	303	21	diverse	diverse	ADJ
cana-513	303	22	yoga	yoga	NOUN
cana-513	303	23	pranayama	pranayama	NOUN
cana-513	303	24	credibility	credibility	NOUN
cana-513	303	25	of	of	ADP
cana-513	303	26	individuals	individual	NOUN
cana-513	303	27	might	might	AUX
cana-513	303	28	make	make	VERB
cana-513	303	29	the	the	DET
cana-513	303	30	model	model	NOUN
cana-513	303	31	more	more	ADV
cana-513	303	32	elaborate	elaborate	ADJ
cana-513	303	33	.	.	PUNCT
cana-513	304	1	next	next	ADV
cana-513	304	2	,	,	PUNCT
cana-513	304	3	influence	influence	NOUN
cana-513	304	4	of	of	ADP
cana-513	304	5	the	the	DET
cana-513	304	6	yoga	yoga	NOUN
cana-513	304	7	guru	guru	NOUN
cana-513	304	8	’s	’s	PART
cana-513	304	9	opinion	opinion	NOUN
cana-513	304	10	may	may	AUX
cana-513	304	11	be	be	AUX
cana-513	304	12	another	another	DET
cana-513	304	13	topic	topic	NOUN
cana-513	304	14	worth	worth	ADJ
cana-513	304	15	studying	study	VERB
cana-513	304	16	.	.	PUNCT
cana-513	305	1	online	online	ADJ
cana-513	305	2	yoga	yoga	NOUN
cana-513	305	3	class	class	NOUN
cana-513	305	4	,	,	PUNCT
cana-513	305	5	yoga	yoga	NOUN
cana-513	305	6	chautari	chautari	NOUN
cana-513	305	7	,	,	PUNCT
cana-513	305	8	yoga	yoga	NOUN
cana-513	305	9	camps	camp	NOUN
cana-513	305	10	etc	etc	X
cana-513	305	11	.	.	X
cana-513	305	12	exert	exert	VERB
cana-513	305	13	their	their	PRON
cana-513	305	14	influences	influence	NOUN
cana-513	305	15	not	not	PART
cana-513	305	16	only	only	ADV
cana-513	305	17	directly	directly	ADV
cana-513	305	18	on	on	ADP
cana-513	305	19	individuals	individual	NOUN
cana-513	305	20	,	,	PUNCT
cana-513	305	21	but	but	CCONJ
cana-513	305	22	also	also	ADV
cana-513	305	23	through	through	ADP
cana-513	305	24	the	the	DET
cana-513	305	25	opinion	opinion	NOUN
cana-513	305	26	leaders	leader	NOUN
cana-513	305	27	who	who	PRON
cana-513	305	28	are	be	AUX
cana-513	305	29	more	more	ADV
cana-513	305	30	intelligent	intelligent	ADJ
cana-513	305	31	than	than	ADP
cana-513	305	32	the	the	DET
cana-513	305	33	yoga	yoga	NOUN
cana-513	305	34	sadhaka	sadhaka	NOUN
cana-513	305	35	persons	person	NOUN
cana-513	305	36	and	and	CCONJ
cana-513	305	37	can	can	AUX
cana-513	305	38	deliver	deliver	VERB
cana-513	305	39	the	the	DET
cana-513	305	40	content	content	NOUN
cana-513	305	41	of	of	ADP
cana-513	305	42	the	the	DET
cana-513	305	43	patanjali	patanjali	PROPN
cana-513	305	44	’s	’s	PART
cana-513	305	45	yoga	yoga	NOUN
cana-513	305	46	philosophy	philosophy	NOUN
cana-513	305	47	to	to	ADP
cana-513	305	48	the	the	DET
cana-513	305	49	population	population	NOUN
cana-513	305	50	.	.	PUNCT
cana-513	306	1	thus	thus	ADV
cana-513	306	2	,	,	PUNCT
cana-513	306	3	it	it	PRON
cana-513	306	4	can	can	AUX
cana-513	306	5	be	be	AUX
cana-513	306	6	assumed	assume	VERB
cana-513	306	7	that	that	SCONJ
cana-513	306	8	how	how	SCONJ
cana-513	306	9	cautious	cautious	ADJ
cana-513	306	10	the	the	DET
cana-513	306	11	yoga	yoga	NOUN
cana-513	306	12	guru	guru	NOUN
cana-513	306	13	is	be	AUX
cana-513	306	14	regarding	regard	VERB
cana-513	306	15	his	his	PRON
cana-513	306	16	opinion	opinion	NOUN
cana-513	306	17	on	on	ADP
cana-513	306	18	the	the	DET
cana-513	306	19	control	control	NOUN
cana-513	306	20	of	of	ADP
cana-513	306	21	infectious	infectious	ADJ
cana-513	306	22	disease	disease	NOUN
cana-513	306	23	may	may	AUX
cana-513	306	24	have	have	VERB
cana-513	306	25	an	an	DET
cana-513	306	26	influence	influence	NOUN
cana-513	306	27	on	on	ADP
cana-513	306	28	the	the	DET
cana-513	306	29	behavior	behavior	NOUN
cana-513	306	30	of	of	ADP
cana-513	306	31	other	other	ADJ
cana-513	306	32	individuals	individual	NOUN
cana-513	306	33	who	who	PRON
cana-513	306	34	are	be	AUX
cana-513	306	35	under	under	ADP
cana-513	306	36	the	the	DET
cana-513	306	37	influence	influence	NOUN
cana-513	306	38	of	of	ADP
cana-513	306	39	the	the	DET
cana-513	306	40	yoga	yoga	NOUN
cana-513	306	41	guru	guru	NOUN
cana-513	306	42	.	.	PUNCT
cana-513	307	1	furthermore	furthermore	ADV
cana-513	307	2	,	,	PUNCT
cana-513	307	3	there	there	PRON
cana-513	307	4	are	be	VERB
cana-513	307	5	other	other	ADJ
cana-513	307	6	important	important	ADJ
cana-513	307	7	factors	factor	NOUN
cana-513	307	8	that	that	PRON
cana-513	307	9	can	can	AUX
cana-513	307	10	be	be	AUX
cana-513	307	11	considered	consider	VERB
cana-513	307	12	and	and	CCONJ
cana-513	307	13	incorporated	incorporate	VERB
cana-513	307	14	into	into	ADP
cana-513	307	15	a	a	DET
cana-513	307	16	mathematical	mathematical	ADJ
cana-513	307	17	model	model	NOUN
cana-513	307	18	such	such	ADJ
cana-513	307	19	as	as	ADP
cana-513	307	20	various	various	ADJ
cana-513	307	21	forms	form	NOUN
cana-513	307	22	of	of	ADP
cana-513	307	23	mass	mass	NOUN
cana-513	307	24	(	(	PUNCT
cana-513	307	25	social	social	ADJ
cana-513	307	26	)	)	PUNCT
cana-513	307	27	media	medium	NOUN
cana-513	307	28	which	which	PRON
cana-513	307	29	describes	describe	VERB
cana-513	307	30	benefits	benefit	NOUN
cana-513	307	31	of	of	ADP
cana-513	307	32	yoga	yoga	NOUN
cana-513	307	33	communications	communication	NOUN
cana-513	307	34	on	on	ADP
cana-513	307	35	applied	apply	VERB
cana-513	307	36	nonlinear	nonlinear	ADJ
cana-513	307	37	analysis	analysis	NOUN
cana-513	307	38	issn	issn	NOUN
cana-513	307	39	:	:	PUNCT
cana-513	307	40	1074	1074	NUM
cana-513	307	41	-	-	PUNCT
cana-513	307	42	133x	133x	NUM
cana-513	307	43	vol	vol	NOUN
cana-513	307	44	31	31	NUM
cana-513	307	45	no	no	NOUN
cana-513	307	46	.	.	NOUN
cana-513	307	47	2	2	NUM
cana-513	307	48	(	(	PUNCT
cana-513	307	49	2024	2024	NUM
cana-513	307	50	)	)	PUNCT
cana-513	307	51	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	307	52	78	78	NUM
cana-513	307	53	and	and	CCONJ
cana-513	307	54	the	the	DET
cana-513	307	55	characteristics	characteristic	NOUN
cana-513	307	56	of	of	ADP
cana-513	307	57	communicable	communicable	NOUN
cana-513	307	58	diseases	disease	NOUN
cana-513	307	59	(	(	PUNCT
cana-513	307	60	size	size	NOUN
cana-513	307	61	or	or	CCONJ
cana-513	307	62	location	location	NOUN
cana-513	307	63	)	)	PUNCT
cana-513	307	64	.	.	PUNCT
cana-513	308	1	in	in	ADP
cana-513	308	2	addition	addition	NOUN
cana-513	308	3	,	,	PUNCT
cana-513	308	4	to	to	PART
cana-513	308	5	investigate	investigate	VERB
cana-513	308	6	the	the	DET
cana-513	308	7	type	type	NOUN
cana-513	308	8	of	of	ADP
cana-513	308	9	awareness	awareness	NOUN
cana-513	308	10	which	which	PRON
cana-513	308	11	work	work	VERB
cana-513	308	12	best	well	ADV
cana-513	308	13	at	at	ADP
cana-513	308	14	reducing	reduce	VERB
cana-513	308	15	transmission	transmission	NOUN
cana-513	308	16	dynamics	dynamic	NOUN
cana-513	308	17	,	,	PUNCT
cana-513	308	18	further	further	ADJ
cana-513	308	19	research	research	NOUN
cana-513	308	20	will	will	AUX
cana-513	308	21	be	be	AUX
cana-513	308	22	needed	need	VERB
cana-513	308	23	.	.	PUNCT
cana-513	309	1	further	further	ADJ
cana-513	309	2	study	study	NOUN
cana-513	309	3	need	need	VERB
cana-513	309	4	on	on	ADP
cana-513	309	5	sensitivity	sensitivity	NOUN
cana-513	309	6	of	of	ADP
cana-513	309	7	yoga	yoga	NOUN
cana-513	309	8	awareness	awareness	NOUN
cana-513	309	9	dependent	dependent	ADJ
cana-513	309	10	perception	perception	NOUN
cana-513	309	11	,	,	PUNCT
cana-513	309	12	change	change	NOUN
cana-513	309	13	in	in	ADP
cana-513	309	14	recovery	recovery	NOUN
cana-513	309	15	rate	rate	NOUN
cana-513	309	16	and	and	CCONJ
cana-513	309	17	behavior	behavior	NOUN
cana-513	309	18	changes	change	NOUN
cana-513	309	19	.	.	PUNCT
cana-513	310	1	5.2	5.2	NUM
cana-513	310	2	conclusion	conclusion	NOUN
cana-513	310	3	in	in	ADP
cana-513	310	4	this	this	DET
cana-513	310	5	paper	paper	NOUN
cana-513	310	6	,	,	PUNCT
cana-513	310	7	we	we	PRON
cana-513	310	8	proposed	propose	VERB
cana-513	310	9	an	an	DET
cana-513	310	10	sirs	sir	NOUN
cana-513	310	11	epidemic	epidemic	NOUN
cana-513	310	12	model	model	NOUN
cana-513	310	13	incorporating	incorporate	VERB
cana-513	310	14	yoga	yoga	NOUN
cana-513	310	15	awareness	awareness	NOUN
cana-513	310	16	and	and	CCONJ
cana-513	310	17	investigate	investigate	VERB
cana-513	310	18	the	the	DET
cana-513	310	19	asymptotic	asymptotic	ADJ
cana-513	310	20	stability	stability	NOUN
cana-513	310	21	of	of	ADP
cana-513	310	22	the	the	DET
cana-513	310	23	model	model	NOUN
cana-513	310	24	in	in	ADP
cana-513	310	25	both	both	DET
cana-513	310	26	disease	disease	NOUN
cana-513	310	27	free	free	ADJ
cana-513	310	28	and	and	CCONJ
cana-513	310	29	endemic	endemic	ADJ
cana-513	310	30	equilibrium	equilibrium	NOUN
cana-513	310	31	states	state	NOUN
cana-513	310	32	.	.	PUNCT
cana-513	311	1	the	the	DET
cana-513	311	2	disease	disease	NOUN
cana-513	311	3	free	free	ADJ
cana-513	311	4	equilibrium	equilibrium	NOUN
cana-513	311	5	state	state	NOUN
cana-513	311	6	is	be	AUX
cana-513	311	7	locally	locally	ADV
cana-513	311	8	asymptotically	asymptotically	ADV
cana-513	311	9	stable	stable	ADJ
cana-513	311	10	for	for	ADP
cana-513	311	11	reproduction	reproduction	NOUN
cana-513	311	12	number	number	NOUN
cana-513	311	13	ra	ra	PROPN
cana-513	311	14	<	<	X
cana-513	311	15	1	1	NUM
cana-513	311	16	.	.	PUNCT
cana-513	312	1	the	the	DET
cana-513	312	2	disease	disease	NOUN
cana-513	312	3	transmission	transmission	NOUN
cana-513	312	4	bifurcates	bifurcate	NOUN
cana-513	312	5	at	at	ADP
cana-513	312	6	ra	ra	PROPN
cana-513	312	7	=	=	NOUN
cana-513	312	8	1	1	X
cana-513	312	9	.	.	PUNCT
cana-513	312	10	a	a	DET
cana-513	312	11	locally	locally	ADV
cana-513	312	12	asymptotically	asymptotically	ADV
cana-513	312	13	stable	stable	ADJ
cana-513	312	14	endemic	endemic	ADJ
cana-513	312	15	equilibrium	equilibrium	NOUN
cana-513	312	16	exists	exist	VERB
cana-513	312	17	for	for	ADP
cana-513	312	18	ra	ra	PROPN
cana-513	312	19	>	>	X
cana-513	313	1	1	1	X
cana-513	313	2	.	.	PUNCT
cana-513	313	3	we	we	PRON
cana-513	313	4	have	have	AUX
cana-513	313	5	observed	observe	VERB
cana-513	313	6	that	that	PRON
cana-513	313	7	yoga	yoga	NOUN
cana-513	313	8	awareness	awareness	NOUN
cana-513	313	9	coverage	coverage	NOUN
cana-513	313	10	c	c	AUX
cana-513	313	11	affect	affect	VERB
cana-513	313	12	ra	ra	PROPN
cana-513	313	13	and	and	CCONJ
cana-513	313	14	r0	r0	NOUN
cana-513	313	15	.	.	PUNCT
cana-513	314	1	we	we	PRON
cana-513	314	2	calculate	calculate	VERB
cana-513	314	3	sensitivity	sensitivity	NOUN
cana-513	314	4	indices	index	NOUN
cana-513	314	5	of	of	ADP
cana-513	314	6	the	the	DET
cana-513	314	7	reproduction	reproduction	NOUN
cana-513	314	8	number	number	NOUN
cana-513	314	9	on	on	ADP
cana-513	314	10	identified	identify	VERB
cana-513	314	11	respective	respective	ADJ
cana-513	314	12	sensitive	sensitive	ADJ
cana-513	314	13	parameters	parameter	NOUN
cana-513	314	14	.	.	PUNCT
cana-513	315	1	it	it	PRON
cana-513	315	2	is	be	AUX
cana-513	315	3	found	find	VERB
cana-513	315	4	that	that	SCONJ
cana-513	315	5	reproduction	reproduction	NOUN
cana-513	315	6	number	number	NOUN
cana-513	315	7	decreases	decrease	VERB
cana-513	315	8	with	with	ADP
cana-513	315	9	increase	increase	NOUN
cana-513	315	10	in	in	ADP
cana-513	315	11	aware	aware	ADJ
cana-513	315	12	mass	mass	PROPN
cana-513	315	13	.	.	PUNCT
cana-513	316	1	increased	increase	VERB
cana-513	316	2	yoga	yoga	NOUN
cana-513	316	3	awareness	awareness	NOUN
cana-513	316	4	mass	mass	NOUN
cana-513	316	5	reduces	reduce	VERB
cana-513	316	6	susceptibility	susceptibility	NOUN
cana-513	316	7	and	and	CCONJ
cana-513	316	8	infectivity	infectivity	NOUN
cana-513	316	9	.	.	PUNCT
cana-513	317	1	contour	contour	NOUN
cana-513	317	2	plot	plot	NOUN
cana-513	317	3	of	of	ADP
cana-513	317	4	yoga	yoga	NOUN
cana-513	317	5	awareness	awareness	NOUN
cana-513	317	6	coverage	coverage	NOUN
cana-513	317	7	level	level	NOUN
cana-513	317	8	and	and	CCONJ
cana-513	317	9	model	model	NOUN
cana-513	317	10	parameters	parameter	NOUN
cana-513	317	11	along	along	ADP
cana-513	317	12	with	with	ADP
cana-513	317	13	reproduction	reproduction	NOUN
cana-513	317	14	number	number	NOUN
cana-513	317	15	also	also	ADV
cana-513	317	16	shows	show	VERB
cana-513	317	17	that	that	SCONJ
cana-513	317	18	yoga	yoga	NOUN
cana-513	317	19	awareness	awareness	NOUN
cana-513	317	20	mass	mass	NOUN
cana-513	317	21	coverage	coverage	NOUN
cana-513	317	22	level	level	NOUN
cana-513	317	23	reduces	reduce	VERB
cana-513	317	24	susceptibility	susceptibility	NOUN
cana-513	317	25	and	and	CCONJ
cana-513	317	26	infectivity	infectivity	NOUN
cana-513	317	27	.	.	PUNCT
cana-513	318	1	it	it	PRON
cana-513	318	2	makes	make	VERB
cana-513	318	3	faster	fast	ADJ
cana-513	318	4	recovery	recovery	NOUN
cana-513	318	5	and	and	CCONJ
cana-513	318	6	longer	long	ADJ
cana-513	318	7	preservation	preservation	NOUN
cana-513	318	8	of	of	ADP
cana-513	318	9	immunity	immunity	NOUN
cana-513	318	10	.	.	PUNCT
cana-513	319	1	the	the	DET
cana-513	319	2	figures	figure	NOUN
cana-513	319	3	from	from	ADP
cana-513	319	4	7	7	NUM
cana-513	319	5	to	to	PART
cana-513	319	6	9	9	NUM
cana-513	319	7	show	show	VERB
cana-513	319	8	that	that	SCONJ
cana-513	319	9	yoga	yoga	NOUN
cana-513	319	10	awareness	awareness	NOUN
cana-513	319	11	has	have	VERB
cana-513	319	12	positive	positive	ADJ
cana-513	319	13	effect	effect	NOUN
cana-513	319	14	on	on	ADP
cana-513	319	15	controlling	control	VERB
cana-513	319	16	communicable	communicable	NOUN
cana-513	319	17	diseases	disease	NOUN
cana-513	319	18	.	.	PUNCT
cana-513	320	1	from	from	ADP
cana-513	320	2	these	these	DET
cana-513	320	3	results	result	NOUN
cana-513	320	4	shown	show	VERB
cana-513	320	5	in	in	ADP
cana-513	320	6	figures	figure	NOUN
cana-513	320	7	(	(	PUNCT
cana-513	320	8	figure	figure	NOUN
cana-513	320	9	5	5	NUM
cana-513	320	10	to	to	PART
cana-513	320	11	figure	figure	VERB
cana-513	320	12	9	9	NUM
cana-513	320	13	,	,	PUNCT
cana-513	320	14	we	we	PRON
cana-513	320	15	conclude	conclude	VERB
cana-513	320	16	that	that	SCONJ
cana-513	320	17	yoga	yoga	NOUN
cana-513	320	18	awareness	awareness	NOUN
cana-513	320	19	reduce	reduce	VERB
cana-513	320	20	susceptibility	susceptibility	NOUN
cana-513	320	21	,	,	PUNCT
cana-513	320	22	reduce	reduce	VERB
cana-513	320	23	infectivity	infectivity	NOUN
cana-513	320	24	,	,	PUNCT
cana-513	320	25	increase	increase	VERB
cana-513	320	26	recovery	recovery	NOUN
cana-513	320	27	rate	rate	NOUN
cana-513	320	28	and	and	CCONJ
cana-513	320	29	preserved	preserve	VERB
cana-513	320	30	for	for	ADP
cana-513	320	31	longer	long	ADJ
cana-513	320	32	immunity	immunity	NOUN
cana-513	320	33	.	.	PUNCT
cana-513	321	1	6	6	NUM
cana-513	321	2	acknowledgment	acknowledgment	NOUN
cana-513	321	3	the	the	DET
cana-513	321	4	authors	author	NOUN
cana-513	321	5	are	be	AUX
cana-513	321	6	thankful	thankful	ADJ
cana-513	321	7	to	to	ADP
cana-513	321	8	the	the	DET
cana-513	321	9	reviewers	reviewer	NOUN
cana-513	321	10	team	team	NOUN
cana-513	321	11	to	to	PART
cana-513	321	12	improve	improve	VERB
cana-513	321	13	the	the	DET
cana-513	321	14	article	article	NOUN
cana-513	321	15	.	.	PUNCT
cana-513	322	1	the	the	DET
cana-513	322	2	authors	author	NOUN
cana-513	322	3	are	be	AUX
cana-513	322	4	also	also	ADV
cana-513	322	5	thankful	thankful	ADJ
cana-513	322	6	university	university	NOUN
cana-513	322	7	grants	grant	NOUN
cana-513	322	8	commission	commission	PROPN
cana-513	322	9	,	,	PUNCT
cana-513	322	10	nepal	nepal	NOUN
cana-513	322	11	for	for	ADP
cana-513	322	12	financial	financial	ADJ
cana-513	322	13	support	support	NOUN
cana-513	322	14	to	to	PART
cana-513	322	15	publish	publish	VERB
cana-513	322	16	the	the	DET
cana-513	322	17	article	article	NOUN
cana-513	322	18	.	.	PUNCT
cana-513	323	1	communications	communication	NOUN
cana-513	323	2	on	on	ADP
cana-513	323	3	applied	apply	VERB
cana-513	323	4	nonlinear	nonlinear	ADJ
cana-513	323	5	analysis	analysis	NOUN
cana-513	323	6	issn	issn	NOUN
cana-513	323	7	:	:	PUNCT
cana-513	323	8	1074	1074	NUM
cana-513	323	9	-	-	PUNCT
cana-513	323	10	133x	133x	NUM
cana-513	323	11	vol	vol	NOUN
cana-513	323	12	31	31	NUM
cana-513	323	13	no	no	NOUN
cana-513	323	14	.	.	NOUN
cana-513	323	15	2	2	NUM
cana-513	323	16	(	(	PUNCT
cana-513	323	17	2024	2024	NUM
cana-513	323	18	)	)	PUNCT
cana-513	323	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	323	20	79	79	NUM
cana-513	323	21	references	reference	NOUN
cana-513	323	22	[	[	X
cana-513	323	23	1	1	X
cana-513	323	24	]	]	PUNCT
cana-513	323	25	s.	s.	PROPN
cana-513	323	26	s.	s.	PROPN
cana-513	323	27	sivananda	sivananda	PROPN
cana-513	323	28	,	,	PUNCT
cana-513	323	29	the	the	DET
cana-513	323	30	science	science	NOUN
cana-513	323	31	of	of	ADP
cana-513	323	32	pranayama	pranayama	NOUN
cana-513	323	33	.	.	PUNCT
cana-513	324	1	david	david	PROPN
cana-513	324	2	de	de	PROPN
cana-513	324	3	angelis	angelis	PROPN
cana-513	324	4	,	,	PUNCT
cana-513	324	5	2019	2019	NUM
cana-513	324	6	.	.	PUNCT
cana-513	325	1	[	[	X
cana-513	325	2	2	2	X
cana-513	325	3	]	]	PUNCT
cana-513	325	4	s.	s.	PROPN
cana-513	325	5	b.	b.	PROPN
cana-513	325	6	vidyapeeth	vidyapeeth	PROPN
cana-513	325	7	,	,	PUNCT
cana-513	325	8	“	"	PUNCT
cana-513	325	9	yoga	yoga	NOUN
cana-513	325	10	for	for	ADP
cana-513	325	11	harmony	harmony	NOUN
cana-513	325	12	&	&	CCONJ
cana-513	325	13	peace	peace	NOUN
cana-513	325	14	,	,	PUNCT
cana-513	325	15	”	"	PUNCT
cana-513	325	16	2015	2015	NUM
cana-513	325	17	.	.	PUNCT
cana-513	326	1	[	[	X
cana-513	326	2	3	3	X
cana-513	326	3	]	]	X
cana-513	326	4	m.	m.	NOUN
cana-513	326	5	martcheva	martcheva	PROPN
cana-513	326	6	,	,	PUNCT
cana-513	326	7	an	an	DET
cana-513	326	8	introduction	introduction	NOUN
cana-513	326	9	to	to	ADP
cana-513	326	10	mathematical	mathematical	ADJ
cana-513	326	11	epidemiology	epidemiology	NOUN
cana-513	326	12	,	,	PUNCT
cana-513	326	13	vol	vol	NOUN
cana-513	326	14	.	.	PROPN
cana-513	326	15	61	61	NUM
cana-513	326	16	.	.	PUNCT
cana-513	326	17	springer	springer	NOUN
cana-513	326	18	,	,	PUNCT
cana-513	326	19	2015	2015	NUM
cana-513	326	20	.	.	PUNCT
cana-513	327	1	[	[	X
cana-513	327	2	4	4	X
cana-513	327	3	]	]	PUNCT
cana-513	327	4	a.	a.	PROPN
cana-513	327	5	d.	d.	PROPN
cana-513	327	6	zewdie	zewdie	PROPN
cana-513	327	7	and	and	CCONJ
cana-513	327	8	s.	s.	PROPN
cana-513	327	9	gakkhar	gakkhar	PROPN
cana-513	327	10	,	,	PUNCT
cana-513	327	11	“	"	PUNCT
cana-513	327	12	an	an	DET
cana-513	327	13	epidemic	epidemic	NOUN
cana-513	327	14	model	model	NOUN
cana-513	327	15	with	with	ADP
cana-513	327	16	transport	transport	NOUN
cana-513	327	17	-	-	PUNCT
cana-513	327	18	related	relate	VERB
cana-513	327	19	infec	infec	ADJ
cana-513	327	20	-	-	PUNCT
cana-513	327	21	tion	tion	NOUN
cana-513	327	22	incorporating	incorporate	VERB
cana-513	327	23	awareness	awareness	NOUN
cana-513	327	24	and	and	CCONJ
cana-513	327	25	screening	screening	NOUN
cana-513	327	26	,	,	PUNCT
cana-513	327	27	”	"	PUNCT
cana-513	327	28	journal	journal	NOUN
cana-513	327	29	of	of	ADP
cana-513	327	30	applied	apply	VERB
cana-513	327	31	mathematics	mathematic	NOUN
cana-513	327	32	and	and	CCONJ
cana-513	327	33	computing	computing	NOUN
cana-513	327	34	,	,	PUNCT
cana-513	327	35	vol	vol	NOUN
cana-513	327	36	.	.	PROPN
cana-513	328	1	68	68	NUM
cana-513	328	2	,	,	PUNCT
cana-513	328	3	no	no	INTJ
cana-513	328	4	.	.	NOUN
cana-513	328	5	5	5	NUM
cana-513	328	6	,	,	PUNCT
cana-513	328	7	pp	pp	ADJ
cana-513	328	8	.	.	PUNCT
cana-513	329	1	3107–3146	3107–3146	NUM
cana-513	329	2	,	,	PUNCT
cana-513	329	3	2022	2022	NUM
cana-513	329	4	.	.	PUNCT
cana-513	330	1	[	[	X
cana-513	330	2	5	5	NUM
cana-513	330	3	]	]	PUNCT
cana-513	330	4	m.	m.	NOUN
cana-513	330	5	shariff	shariff	PROPN
cana-513	330	6	et	et	PROPN
cana-513	330	7	al	al	PROPN
cana-513	330	8	.	.	PROPN
cana-513	330	9	,	,	PUNCT
cana-513	330	10	“	"	PUNCT
cana-513	330	11	nipah	nipah	NOUN
cana-513	330	12	virus	virus	NOUN
cana-513	330	13	infection	infection	NOUN
cana-513	330	14	:	:	PUNCT
cana-513	330	15	a	a	DET
cana-513	330	16	review	review	NOUN
cana-513	330	17	,	,	PUNCT
cana-513	330	18	”	"	PUNCT
cana-513	330	19	epidemiology	epidemiology	NOUN
cana-513	330	20	&	&	CCONJ
cana-513	330	21	infection	infection	NOUN
cana-513	330	22	,	,	PUNCT
cana-513	330	23	vol	vol	NOUN
cana-513	330	24	.	.	PROPN
cana-513	330	25	147	147	NUM
cana-513	330	26	,	,	PUNCT
cana-513	330	27	2019	2019	NUM
cana-513	330	28	.	.	PUNCT
cana-513	331	1	[	[	X
cana-513	331	2	6	6	NUM
cana-513	331	3	]	]	PUNCT
cana-513	331	4	h.	h.	PROPN
cana-513	331	5	rwezaura	rwezaura	PROPN
cana-513	331	6	,	,	PUNCT
cana-513	331	7	e.	e.	PROPN
cana-513	331	8	mtisi	mtisi	PROPN
cana-513	331	9	,	,	PUNCT
cana-513	331	10	and	and	CCONJ
cana-513	331	11	j.	j.	PROPN
cana-513	331	12	tchuenche	tchuenche	PROPN
cana-513	331	13	,	,	PUNCT
cana-513	331	14	“	"	PUNCT
cana-513	331	15	a	a	DET
cana-513	331	16	mathematical	mathematical	ADJ
cana-513	331	17	analysis	analysis	NOUN
cana-513	331	18	of	of	ADP
cana-513	331	19	influenza	influenza	NOUN
cana-513	331	20	with	with	ADP
cana-513	331	21	treatment	treatment	NOUN
cana-513	331	22	and	and	CCONJ
cana-513	331	23	vaccination	vaccination	NOUN
cana-513	331	24	,	,	PUNCT
cana-513	331	25	”	"	PUNCT
cana-513	331	26	infectious	infectious	ADJ
cana-513	331	27	disease	disease	NOUN
cana-513	331	28	modelling	model	VERB
cana-513	331	29	research	research	NOUN
cana-513	331	30	progress	progress	NOUN
cana-513	331	31	,	,	PUNCT
cana-513	331	32	p.	p.	NOUN
cana-513	331	33	31	31	NUM
cana-513	331	34	,	,	PUNCT
cana-513	331	35	2010	2010	NUM
cana-513	331	36	.	.	PUNCT
cana-513	332	1	[	[	X
cana-513	332	2	7	7	X
cana-513	332	3	]	]	PUNCT
cana-513	332	4	s.	s.	PROPN
cana-513	332	5	m.	m.	PROPN
cana-513	332	6	raimundo	raimundo	PROPN
cana-513	332	7	,	,	PUNCT
cana-513	332	8	h.	h.	PROPN
cana-513	332	9	m.	m.	PROPN
cana-513	332	10	yang	yang	PROPN
cana-513	332	11	,	,	PUNCT
cana-513	332	12	and	and	CCONJ
cana-513	332	13	a.	a.	PROPN
cana-513	332	14	b.	b.	PROPN
cana-513	332	15	engel	engel	PROPN
cana-513	332	16	,	,	PUNCT
cana-513	332	17	“	"	PUNCT
cana-513	332	18	modelling	model	VERB
cana-513	332	19	the	the	DET
cana-513	332	20	effects	effect	NOUN
cana-513	332	21	of	of	ADP
cana-513	332	22	temporary	temporary	ADJ
cana-513	332	23	immune	immune	ADJ
cana-513	332	24	protection	protection	NOUN
cana-513	332	25	and	and	CCONJ
cana-513	332	26	vaccination	vaccination	NOUN
cana-513	332	27	against	against	ADP
cana-513	332	28	infectious	infectious	ADJ
cana-513	332	29	diseases	disease	NOUN
cana-513	332	30	,	,	PUNCT
cana-513	332	31	”	"	PUNCT
cana-513	332	32	applied	apply	VERB
cana-513	332	33	mathemat	mathemat	NOUN
cana-513	332	34	-	-	PUNCT
cana-513	332	35	ics	ics	NOUN
cana-513	332	36	and	and	CCONJ
cana-513	332	37	computation	computation	NOUN
cana-513	332	38	,	,	PUNCT
cana-513	332	39	vol	vol	NOUN
cana-513	332	40	.	.	PROPN
cana-513	332	41	189	189	NUM
cana-513	332	42	,	,	PUNCT
cana-513	332	43	no	no	INTJ
cana-513	332	44	.	.	NOUN
cana-513	332	45	2	2	NUM
cana-513	332	46	,	,	PUNCT
cana-513	332	47	pp	pp	ADJ
cana-513	332	48	.	.	PUNCT
cana-513	333	1	1723–1736	1723–1736	NUM
cana-513	333	2	,	,	PUNCT
cana-513	333	3	2007	2007	NUM
cana-513	333	4	.	.	PUNCT
cana-513	334	1	[	[	X
cana-513	334	2	8	8	X
cana-513	334	3	]	]	X
cana-513	334	4	h.	h.	PROPN
cana-513	334	5	singh	singh	PROPN
cana-513	334	6	and	and	CCONJ
cana-513	334	7	j.	j.	PROPN
cana-513	334	8	dhar	dhar	PROPN
cana-513	334	9	,	,	PUNCT
cana-513	334	10	“	"	PUNCT
cana-513	334	11	dynamics	dynamic	NOUN
cana-513	334	12	of	of	ADP
cana-513	334	13	a	a	DET
cana-513	334	14	prey	prey	NOUN
cana-513	334	15	and	and	CCONJ
cana-513	334	16	generalized	generalized	ADJ
cana-513	334	17	-	-	PUNCT
cana-513	334	18	predator	predator	NOUN
cana-513	334	19	system	system	NOUN
cana-513	334	20	with	with	ADP
cana-513	334	21	disease	disease	NOUN
cana-513	334	22	in	in	ADP
cana-513	334	23	prey	prey	NOUN
cana-513	334	24	and	and	CCONJ
cana-513	334	25	gestation	gestation	NOUN
cana-513	334	26	delay	delay	NOUN
cana-513	334	27	for	for	ADP
cana-513	334	28	predator	predator	NOUN
cana-513	334	29	in	in	ADP
cana-513	334	30	single	single	ADJ
cana-513	334	31	patch	patch	NOUN
cana-513	334	32	habitat	habitat	NOUN
cana-513	334	33	,	,	PUNCT
cana-513	334	34	”	"	PUNCT
cana-513	334	35	in	in	ADP
cana-513	334	36	mathe	mathe	NOUN
cana-513	334	37	-	-	PUNCT
cana-513	334	38	matical	matical	ADJ
cana-513	334	39	population	population	NOUN
cana-513	334	40	dynamics	dynamic	NOUN
cana-513	334	41	and	and	CCONJ
cana-513	334	42	epidemiology	epidemiology	NOUN
cana-513	334	43	in	in	ADP
cana-513	334	44	temporal	temporal	ADJ
cana-513	334	45	and	and	CCONJ
cana-513	334	46	spatio	spatio	ADJ
cana-513	334	47	-	-	PUNCT
cana-513	334	48	temporal	temporal	ADJ
cana-513	334	49	domains	domain	NOUN
cana-513	334	50	,	,	PUNCT
cana-513	334	51	pp	pp	ADJ
cana-513	334	52	.	.	PUNCT
cana-513	335	1	165–186	165–186	NUM
cana-513	335	2	,	,	PUNCT
cana-513	335	3	apple	apple	NOUN
cana-513	335	4	academic	academic	ADJ
cana-513	335	5	press	press	NOUN
cana-513	335	6	,	,	PUNCT
cana-513	335	7	2018	2018	NUM
cana-513	335	8	.	.	PUNCT
cana-513	336	1	[	[	X
cana-513	336	2	9	9	NUM
cana-513	336	3	]	]	PUNCT
cana-513	336	4	q.	q.	PROPN
cana-513	336	5	wu	wu	PROPN
cana-513	336	6	,	,	PUNCT
cana-513	336	7	x.	x.	PROPN
cana-513	336	8	fu	fu	PROPN
cana-513	336	9	,	,	PUNCT
cana-513	336	10	m.	m.	NOUN
cana-513	336	11	small	small	ADJ
cana-513	336	12	,	,	PUNCT
cana-513	336	13	and	and	CCONJ
cana-513	336	14	x.-j	x.-j	PROPN
cana-513	336	15	.	.	PUNCT
cana-513	337	1	xu	xu	PROPN
cana-513	337	2	,	,	PUNCT
cana-513	337	3	“	"	PUNCT
cana-513	337	4	the	the	DET
cana-513	337	5	impact	impact	NOUN
cana-513	337	6	of	of	ADP
cana-513	337	7	awareness	awareness	NOUN
cana-513	337	8	on	on	ADP
cana-513	337	9	epidemic	epidemic	NOUN
cana-513	337	10	spreading	spread	VERB
cana-513	337	11	in	in	ADP
cana-513	337	12	networks	network	NOUN
cana-513	337	13	,	,	PUNCT
cana-513	337	14	”	"	PUNCT
cana-513	337	15	chaos	chaos	NOUN
cana-513	337	16	:	:	PUNCT
cana-513	337	17	an	an	DET
cana-513	337	18	interdisciplinary	interdisciplinary	ADJ
cana-513	337	19	journal	journal	NOUN
cana-513	337	20	of	of	ADP
cana-513	337	21	nonlinear	nonlinear	ADJ
cana-513	337	22	science	science	NOUN
cana-513	337	23	,	,	PUNCT
cana-513	337	24	vol	vol	NOUN
cana-513	337	25	.	.	PROPN
cana-513	337	26	22	22	NUM
cana-513	337	27	,	,	PUNCT
cana-513	337	28	no	no	INTJ
cana-513	337	29	.	.	NOUN
cana-513	337	30	1	1	NUM
cana-513	337	31	,	,	PUNCT
cana-513	337	32	p.	p.	NOUN
cana-513	337	33	013101	013101	NUM
cana-513	337	34	,	,	PUNCT
cana-513	337	35	2012	2012	NUM
cana-513	337	36	.	.	PUNCT
cana-513	338	1	[	[	X
cana-513	338	2	10	10	NUM
cana-513	338	3	]	]	X
cana-513	338	4	g.	g.	PROPN
cana-513	338	5	maehle	maehle	PROPN
cana-513	338	6	,	,	PUNCT
cana-513	338	7	ashtanga	ashtanga	PROPN
cana-513	338	8	yoga	yoga	NOUN
cana-513	338	9	:	:	PUNCT
cana-513	338	10	practice	practice	NOUN
cana-513	338	11	and	and	CCONJ
cana-513	338	12	philosophy	philosophy	NOUN
cana-513	338	13	:	:	PUNCT
cana-513	338	14	a	a	DET
cana-513	338	15	comprehensive	comprehensive	ADJ
cana-513	338	16	description	description	NOUN
cana-513	338	17	of	of	ADP
cana-513	338	18	the	the	DET
cana-513	338	19	primary	primary	ADJ
cana-513	338	20	series	series	NOUN
cana-513	338	21	of	of	ADP
cana-513	338	22	ashtanga	ashtanga	PROPN
cana-513	338	23	yoga	yoga	NOUN
cana-513	338	24	,	,	PUNCT
cana-513	338	25	following	follow	VERB
cana-513	338	26	the	the	DET
cana-513	338	27	traditional	traditional	ADJ
cana-513	338	28	vinyasa	vinyasa	ADJ
cana-513	338	29	count	count	NOUN
cana-513	338	30	,	,	PUNCT
cana-513	338	31	and	and	CCONJ
cana-513	338	32	an	an	DET
cana-513	338	33	authentic	authentic	ADJ
cana-513	338	34	explanation	explanation	NOUN
cana-513	338	35	of	of	ADP
cana-513	338	36	the	the	DET
cana-513	338	37	yoga	yoga	NOUN
cana-513	338	38	sutra	sutra	NOUN
cana-513	338	39	of	of	ADP
cana-513	338	40	patanjali	patanjali	PROPN
cana-513	338	41	.	.	PUNCT
cana-513	339	1	new	new	ADJ
cana-513	339	2	world	world	NOUN
cana-513	339	3	library	library	NOUN
cana-513	339	4	,	,	PUNCT
cana-513	339	5	2007	2007	NUM
cana-513	339	6	.	.	PUNCT
cana-513	340	1	[	[	X
cana-513	340	2	11	11	NUM
cana-513	340	3	]	]	X
cana-513	340	4	d.	d.	PROPN
cana-513	340	5	g.	g.	PROPN
cana-513	340	6	white	white	PROPN
cana-513	340	7	,	,	PUNCT
cana-513	340	8	the	the	DET
cana-513	340	9	yoga	yoga	NOUN
cana-513	340	10	sutra	sutra	NOUN
cana-513	340	11	of	of	ADP
cana-513	340	12	patanjali	patanjali	PROPN
cana-513	340	13	:	:	PUNCT
cana-513	340	14	a	a	DET
cana-513	340	15	biography	biography	NOUN
cana-513	340	16	,	,	PUNCT
cana-513	340	17	vol	vol	NOUN
cana-513	340	18	.	.	PROPN
cana-513	341	1	43	43	NUM
cana-513	341	2	.	.	PUNCT
cana-513	342	1	princeton	princeton	PROPN
cana-513	342	2	university	university	PROPN
cana-513	342	3	press	press	NOUN
cana-513	342	4	,	,	PUNCT
cana-513	342	5	2019	2019	NUM
cana-513	342	6	.	.	PUNCT
cana-513	343	1	[	[	X
cana-513	343	2	12	12	NUM
cana-513	343	3	]	]	PUNCT
cana-513	343	4	a.	a.	NOUN
cana-513	343	5	swanson	swanson	PROPN
cana-513	343	6	,	,	PUNCT
cana-513	343	7	science	science	NOUN
cana-513	343	8	of	of	ADP
cana-513	343	9	yoga	yoga	NOUN
cana-513	343	10	:	:	PUNCT
cana-513	343	11	understand	understand	VERB
cana-513	343	12	the	the	DET
cana-513	343	13	anatomy	anatomy	NOUN
cana-513	343	14	and	and	CCONJ
cana-513	343	15	physiology	physiology	NOUN
cana-513	343	16	to	to	PART
cana-513	343	17	perfect	perfect	VERB
cana-513	343	18	your	your	PRON
cana-513	343	19	practice	practice	NOUN
cana-513	343	20	.	.	PUNCT
cana-513	344	1	penguin	penguin	NOUN
cana-513	344	2	,	,	PUNCT
cana-513	344	3	2019	2019	NUM
cana-513	344	4	.	.	PUNCT
cana-513	345	1	[	[	X
cana-513	345	2	13	13	NUM
cana-513	345	3	]	]	X
cana-513	345	4	y.	y.	PROPN
cana-513	345	5	m.	m.	PROPN
cana-513	345	6	d.	d.	PROPN
cana-513	345	7	bhavanani	bhavanani	PROPN
cana-513	345	8	,	,	PUNCT
cana-513	345	9	“	"	PUNCT
cana-513	345	10	the	the	DET
cana-513	345	11	history	history	NOUN
cana-513	345	12	of	of	ADP
cana-513	345	13	yoga	yoga	NOUN
cana-513	345	14	from	from	ADP
cana-513	345	15	ancient	ancient	ADJ
cana-513	345	16	to	to	ADP
cana-513	345	17	modern	modern	ADJ
cana-513	345	18	times	time	NOUN
cana-513	345	19	,	,	PUNCT
cana-513	345	20	”	"	PUNCT
cana-513	345	21	2012	2012	NUM
cana-513	345	22	.	.	PUNCT
cana-513	346	1	[	[	X
cana-513	346	2	14	14	NUM
cana-513	346	3	]	]	X
cana-513	346	4	g.	g.	PROPN
cana-513	346	5	a.	a.	PROPN
cana-513	346	6	feuerstein	feuerstein	PROPN
cana-513	346	7	et	et	PROPN
cana-513	346	8	al	al	PROPN
cana-513	346	9	.	.	PROPN
cana-513	346	10	,	,	PUNCT
cana-513	346	11	“	"	PUNCT
cana-513	346	12	the	the	DET
cana-513	346	13	yoga	yoga	NOUN
cana-513	346	14	-	-	PUNCT
cana-513	346	15	s¯utra	s¯utra	PROPN
cana-513	346	16	of	of	ADP
cana-513	346	17	pata˜njali	pata˜njali	PROPN
cana-513	346	18	:	:	PUNCT
cana-513	346	19	a	a	DET
cana-513	346	20	new	new	ADJ
cana-513	346	21	translation	translation	NOUN
cana-513	346	22	and	and	CCONJ
cana-513	346	23	com	com	NOUN
cana-513	346	24	-	-	PUNCT
cana-513	346	25	mentary	mentary	NOUN
cana-513	346	26	,	,	PUNCT
cana-513	346	27	”	"	PUNCT
cana-513	346	28	1979	1979	NUM
cana-513	346	29	.	.	PUNCT
cana-513	347	1	[	[	X
cana-513	347	2	15	15	NUM
cana-513	347	3	]	]	X
cana-513	347	4	m.	m.	NOUN
cana-513	347	5	garfinkel	garfinkel	NOUN
cana-513	347	6	and	and	CCONJ
cana-513	347	7	h.	h.	PROPN
cana-513	347	8	r.	r.	PROPN
cana-513	347	9	schumacher	schumacher	PROPN
cana-513	347	10	jr	jr	PROPN
cana-513	347	11	,	,	PUNCT
cana-513	347	12	“	"	PUNCT
cana-513	347	13	yoga	yoga	NOUN
cana-513	347	14	,	,	PUNCT
cana-513	347	15	”	"	PUNCT
cana-513	347	16	rheumatic	rheumatic	ADJ
cana-513	347	17	disease	disease	NOUN
cana-513	347	18	clinics	clinic	NOUN
cana-513	347	19	of	of	ADP
cana-513	347	20	north	north	PROPN
cana-513	347	21	america	america	PROPN
cana-513	347	22	,	,	PUNCT
cana-513	347	23	vol	vol	NOUN
cana-513	347	24	.	.	PROPN
cana-513	347	25	26	26	NUM
cana-513	347	26	,	,	PUNCT
cana-513	347	27	no	no	INTJ
cana-513	347	28	.	.	NOUN
cana-513	347	29	1	1	NUM
cana-513	347	30	,	,	PUNCT
cana-513	347	31	pp	pp	ADJ
cana-513	347	32	.	.	PUNCT
cana-513	348	1	125–132	125–132	NUM
cana-513	348	2	,	,	PUNCT
cana-513	348	3	2000	2000	NUM
cana-513	348	4	.	.	PUNCT
cana-513	349	1	[	[	X
cana-513	349	2	16	16	X
cana-513	349	3	]	]	X
cana-513	349	4	y.	y.	PROPN
cana-513	349	5	kim	kim	PROPN
cana-513	349	6	,	,	PUNCT
cana-513	349	7	a.	a.	PROPN
cana-513	349	8	v.	v.	PROPN
cana-513	349	9	barber	barber	PROPN
cana-513	349	10	,	,	PUNCT
cana-513	349	11	and	and	CCONJ
cana-513	349	12	s.	s.	PROPN
cana-513	349	13	lee	lee	PROPN
cana-513	349	14	,	,	PUNCT
cana-513	349	15	“	"	PUNCT
cana-513	349	16	modeling	model	VERB
cana-513	349	17	influenza	influenza	NOUN
cana-513	349	18	transmission	transmission	NOUN
cana-513	349	19	dynamics	dynamic	NOUN
cana-513	349	20	with	with	ADP
cana-513	349	21	media	medium	NOUN
cana-513	349	22	coverage	coverage	NOUN
cana-513	349	23	data	datum	NOUN
cana-513	349	24	of	of	ADP
cana-513	349	25	the	the	DET
cana-513	349	26	2009	2009	NUM
cana-513	349	27	h1n1	h1n1	NOUN
cana-513	349	28	outbreak	outbreak	NOUN
cana-513	349	29	in	in	ADP
cana-513	349	30	korea	korea	PROPN
cana-513	349	31	,	,	PUNCT
cana-513	349	32	”	"	PUNCT
cana-513	349	33	plos	plos	PROPN
cana-513	349	34	one	one	NUM
cana-513	349	35	,	,	PUNCT
cana-513	349	36	vol	vol	NOUN
cana-513	349	37	.	.	PROPN
cana-513	349	38	15	15	NUM
cana-513	349	39	,	,	PUNCT
cana-513	349	40	no	no	INTJ
cana-513	349	41	.	.	PUNCT
cana-513	350	1	6,p.e0232580	6,p.e0232580	NOUN
cana-513	350	2	,	,	PUNCT
cana-513	350	3	2020	2020	NUM
cana-513	350	4	.	.	PUNCT
cana-513	351	1	[	[	X
cana-513	351	2	17	17	NUM
cana-513	351	3	]	]	PUNCT
cana-513	351	4	s.	s.	PROPN
cana-513	351	5	s.	s.	PROPN
cana-513	351	6	musa	musa	PROPN
cana-513	351	7	,	,	PUNCT
cana-513	351	8	s.	s.	PROPN
cana-513	351	9	qureshi	qureshi	PROPN
cana-513	351	10	,	,	PUNCT
cana-513	351	11	s.	s.	PROPN
cana-513	351	12	zhao	zhao	PROPN
cana-513	351	13	,	,	PUNCT
cana-513	351	14	a.	a.	PROPN
cana-513	351	15	yusuf	yusuf	PROPN
cana-513	351	16	,	,	PUNCT
cana-513	351	17	u.	u.	PROPN
cana-513	351	18	t.	t.	PROPN
cana-513	351	19	mustapha	mustapha	PROPN
cana-513	351	20	,	,	PUNCT
cana-513	351	21	and	and	CCONJ
cana-513	351	22	d.	d.	PROPN
cana-513	351	23	he	he	PRON
cana-513	351	24	,	,	PUNCT
cana-513	351	25	“	"	PUNCT
cana-513	351	26	mathemat	mathemat	ADJ
cana-513	351	27	-	-	PUNCT
cana-513	351	28	ical	ical	ADJ
cana-513	351	29	modeling	modeling	NOUN
cana-513	351	30	of	of	ADP
cana-513	351	31	covid-19	covid-19	PROPN
cana-513	351	32	epidemic	epidemic	NOUN
cana-513	351	33	with	with	ADP
cana-513	351	34	effect	effect	NOUN
cana-513	351	35	of	of	ADP
cana-513	351	36	awareness	awareness	NOUN
cana-513	351	37	programs	program	NOUN
cana-513	351	38	,	,	PUNCT
cana-513	351	39	”	"	PUNCT
cana-513	351	40	infectious	infectious	ADJ
cana-513	351	41	disease	disease	NOUN
cana-513	351	42	modelling	modelling	NOUN
cana-513	351	43	,	,	PUNCT
cana-513	351	44	vol	vol	NOUN
cana-513	351	45	.	.	PROPN
cana-513	351	46	6	6	NUM
cana-513	351	47	,	,	PUNCT
cana-513	351	48	pp	pp	ADJ
cana-513	351	49	.	.	PUNCT
cana-513	352	1	448–460	448–460	NUM
cana-513	352	2	,	,	PUNCT
cana-513	352	3	2021	2021	NUM
cana-513	352	4	.	.	PUNCT
cana-513	353	1	[	[	X
cana-513	353	2	18	18	NUM
cana-513	353	3	]	]	PUNCT
cana-513	353	4	m.	m.	NOUN
cana-513	353	5	liu	liu	PROPN
cana-513	353	6	,	,	PUNCT
cana-513	353	7	y.	y.	PROPN
cana-513	353	8	chang	chang	PROPN
cana-513	353	9	,	,	PUNCT
cana-513	353	10	and	and	CCONJ
cana-513	353	11	l.	l.	PROPN
cana-513	353	12	zuo	zuo	PROPN
cana-513	353	13	,	,	PUNCT
cana-513	353	14	“	"	PUNCT
cana-513	353	15	modelling	model	VERB
cana-513	353	16	the	the	DET
cana-513	353	17	impact	impact	NOUN
cana-513	353	18	of	of	ADP
cana-513	353	19	media	medium	NOUN
cana-513	353	20	in	in	ADP
cana-513	353	21	controlling	control	VERB
cana-513	353	22	the	the	DET
cana-513	353	23	dis	dis	PROPN
cana-513	353	24	-	-	PUNCT
cana-513	353	25	eases	ease	VERB
cana-513	353	26	with	with	ADP
cana-513	353	27	a	a	DET
cana-513	353	28	piecewise	piecewise	NOUN
cana-513	353	29	transmission	transmission	NOUN
cana-513	353	30	rate	rate	NOUN
cana-513	353	31	,	,	PUNCT
cana-513	353	32	”	"	PUNCT
cana-513	353	33	discrete	discrete	ADJ
cana-513	353	34	dynamics	dynamic	NOUN
cana-513	353	35	in	in	ADP
cana-513	353	36	nature	nature	NOUN
cana-513	353	37	and	and	CCONJ
cana-513	353	38	society	society	NOUN
cana-513	353	39	,	,	PUNCT
cana-513	353	40	vol	vol	NOUN
cana-513	353	41	.	.	PROPN
cana-513	353	42	2016	2016	NUM
cana-513	353	43	,	,	PUNCT
cana-513	353	44	pp	pp	ADV
cana-513	353	45	.	.	PUNCT
cana-513	354	1	1–6	1–6	NUM
cana-513	354	2	,	,	PUNCT
cana-513	354	3	2016	2016	NUM
cana-513	354	4	.	.	PUNCT
cana-513	355	1	[	[	X
cana-513	355	2	19	19	NUM
cana-513	355	3	]	]	X
cana-513	355	4	y.	y.	PROPN
cana-513	355	5	xiao	xiao	PROPN
cana-513	355	6	,	,	PUNCT
cana-513	355	7	t.	t.	PROPN
cana-513	355	8	zhao	zhao	PROPN
cana-513	355	9	,	,	PUNCT
cana-513	355	10	s.	s.	PROPN
cana-513	355	11	tang	tang	PROPN
cana-513	355	12	,	,	PUNCT
cana-513	355	13	et	et	PROPN
cana-513	355	14	al	al	PROPN
cana-513	355	15	.	.	PROPN
cana-513	355	16	,	,	PUNCT
cana-513	355	17	“	"	PUNCT
cana-513	355	18	dynamics	dynamic	NOUN
cana-513	355	19	of	of	ADP
cana-513	355	20	an	an	DET
cana-513	355	21	infectious	infectious	ADJ
cana-513	355	22	diseases	disease	NOUN
cana-513	355	23	with	with	ADP
cana-513	355	24	me	me	PROPN
cana-513	355	25	-	-	PUNCT
cana-513	355	26	dia	dia	PROPN
cana-513	355	27	/	/	SYM
cana-513	355	28	psychology	psychology	NOUN
cana-513	355	29	induced	induce	VERB
cana-513	355	30	nonsmooth	nonsmooth	ADJ
cana-513	355	31	incidence	incidence	NOUN
cana-513	355	32	,	,	PUNCT
cana-513	355	33	”	"	PUNCT
cana-513	355	34	math	math	NOUN
cana-513	355	35	.	.	PUNCT
cana-513	356	1	biosci	biosci	PROPN
cana-513	356	2	.	.	PUNCT
cana-513	357	1	eng	eng	PROPN
cana-513	357	2	,	,	PUNCT
cana-513	357	3	vol	vol	NOUN
cana-513	357	4	.	.	PROPN
cana-513	357	5	10	10	NUM
cana-513	357	6	,	,	PUNCT
cana-513	357	7	no	no	INTJ
cana-513	357	8	.	.	NOUN
cana-513	357	9	2	2	NUM
cana-513	357	10	,	,	PUNCT
cana-513	357	11	pp	pp	ADJ
cana-513	357	12	.	.	PUNCT
cana-513	358	1	445–461	445–461	NUM
cana-513	358	2	,	,	PUNCT
cana-513	358	3	2013	2013	NUM
cana-513	358	4	.	.	PUNCT
cana-513	359	1	[	[	X
cana-513	359	2	20	20	NUM
cana-513	359	3	]	]	X
cana-513	359	4	h.	h.	PROPN
cana-513	359	5	singh	singh	PROPN
cana-513	359	6	,	,	PUNCT
cana-513	359	7	“	"	PUNCT
cana-513	359	8	mathematical	mathematical	ADJ
cana-513	359	9	modeling	modeling	NOUN
cana-513	359	10	and	and	CCONJ
cana-513	359	11	analysis	analysis	NOUN
cana-513	359	12	of	of	ADP
cana-513	359	13	population	population	NOUN
cana-513	359	14	dynamics	dynamic	NOUN
cana-513	359	15	and	and	CCONJ
cana-513	359	16	epi	epi	NOUN
cana-513	359	17	-	-	NOUN
cana-513	359	18	demiology	demiology	NOUN
cana-513	359	19	,	,	PUNCT
cana-513	359	20	”	"	PUNCT
cana-513	359	21	communications	communication	NOUN
cana-513	359	22	on	on	ADP
cana-513	359	23	applied	apply	VERB
cana-513	359	24	nonlinear	nonlinear	ADJ
cana-513	359	25	analysis	analysis	NOUN
cana-513	359	26	issn	issn	NOUN
cana-513	359	27	:	:	PUNCT
cana-513	359	28	1074	1074	NUM
cana-513	359	29	-	-	PUNCT
cana-513	359	30	133x	133x	NUM
cana-513	359	31	vol	vol	NOUN
cana-513	359	32	31	31	NUM
cana-513	359	33	no	no	NOUN
cana-513	359	34	.	.	NOUN
cana-513	359	35	2	2	NUM
cana-513	359	36	(	(	PUNCT
cana-513	359	37	2024	2024	NUM
cana-513	359	38	)	)	PUNCT
cana-513	359	39	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	359	40	80	80	NUM
cana-513	359	41	communications	communication	NOUN
cana-513	359	42	on	on	ADP
cana-513	359	43	applied	apply	VERB
cana-513	359	44	nonlinear	nonlinear	ADJ
cana-513	359	45	analysis	analysis	NOUN
cana-513	359	46	issn	issn	NOUN
cana-513	359	47	:	:	PUNCT
cana-513	359	48	1074	1074	NUM
cana-513	359	49	-	-	PUNCT
cana-513	359	50	133x	133x	NUM
cana-513	359	51	vol	vol	NOUN
cana-513	359	52	31	31	NUM
cana-513	359	53	no	no	NOUN
cana-513	359	54	.	.	NOUN
cana-513	359	55	2	2	NUM
cana-513	359	56	(	(	PUNCT
cana-513	359	57	2024	2024	NUM
cana-513	359	58	)	)	PUNCT
cana-513	359	59	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	359	60	81	81	NUM
cana-513	360	1	[	[	X
cana-513	360	2	21	21	NUM
cana-513	360	3	]	]	X
cana-513	360	4	r.	r.	PROPN
cana-513	360	5	mahardika	mahardika	PROPN
cana-513	360	6	,	,	PUNCT
cana-513	360	7	widowati	widowati	ADV
cana-513	360	8	,	,	PUNCT
cana-513	360	9	and	and	CCONJ
cana-513	360	10	y.	y.	PROPN
cana-513	360	11	sumanto	sumanto	PROPN
cana-513	360	12	,	,	PUNCT
cana-513	360	13	“	"	PUNCT
cana-513	360	14	routh	routh	PROPN
cana-513	360	15	-	-	PUNCT
cana-513	360	16	hurwitz	hurwitz	PROPN
cana-513	360	17	criterion	criterion	NOUN
cana-513	360	18	and	and	CCONJ
cana-513	360	19	bifurca	bifurca	NOUN
cana-513	360	20	-	-	PUNCT
cana-513	360	21	tion	tion	NOUN
cana-513	360	22	method	method	NOUN
cana-513	360	23	for	for	ADP
cana-513	360	24	stability	stability	NOUN
cana-513	360	25	analysis	analysis	NOUN
cana-513	360	26	of	of	ADP
cana-513	360	27	tuberculosis	tuberculosis	NOUN
cana-513	360	28	transmission	transmission	NOUN
cana-513	360	29	model	model	NOUN
cana-513	360	30	,	,	PUNCT
cana-513	360	31	”	"	PUNCT
cana-513	360	32	in	in	ADP
cana-513	360	33	journal	journal	NOUN
cana-513	360	34	of	of	ADP
cana-513	360	35	physics	physics	PROPN
cana-513	360	36	:	:	PUNCT
cana-513	360	37	conference	conference	NOUN
cana-513	360	38	series	series	NOUN
cana-513	360	39	,	,	PUNCT
cana-513	360	40	vol	vol	NOUN
cana-513	360	41	.	.	PROPN
cana-513	360	42	1217	1217	NUM
cana-513	360	43	,	,	PUNCT
cana-513	360	44	p.	p.	NOUN
cana-513	360	45	012056	012056	NUM
cana-513	360	46	,	,	PUNCT
cana-513	360	47	iop	iop	NOUN
cana-513	360	48	publishing	publishing	NOUN
cana-513	360	49	,	,	PUNCT
cana-513	360	50	2019	2019	NUM
cana-513	360	51	.	.	PUNCT
cana-513	361	1	[	[	X
cana-513	361	2	22	22	NUM
cana-513	361	3	]	]	X
cana-513	361	4	c.	c.	PROPN
cana-513	361	5	hartranft	hartranft	PROPN
cana-513	361	6	,	,	PUNCT
cana-513	361	7	the	the	DET
cana-513	361	8	yoga	yoga	NOUN
cana-513	361	9	-	-	PUNCT
cana-513	361	10	sutra	sutra	NOUN
cana-513	361	11	of	of	ADP
cana-513	361	12	patanjali	patanjali	PROPN
cana-513	361	13	:	:	PUNCT
cana-513	361	14	a	a	DET
cana-513	361	15	new	new	ADJ
cana-513	361	16	translation	translation	NOUN
cana-513	361	17	with	with	ADP
cana-513	361	18	commentary	commentary	NOUN
cana-513	361	19	.	.	PUNCT
cana-513	362	1	shambhala	shambhala	PROPN
cana-513	362	2	publications	publication	NOUN
cana-513	362	3	,	,	PUNCT
cana-513	362	4	2003	2003	NUM
cana-513	362	5	.	.	PUNCT
cana-513	363	1	[	[	X
cana-513	363	2	23	23	NUM
cana-513	363	3	]	]	PUNCT
cana-513	363	4	m.	m.	NOUN
cana-513	363	5	nance	nance	NOUN
cana-513	363	6	,	,	PUNCT
cana-513	363	7	m.	m.	NOUN
cana-513	363	8	sease	sease	PROPN
cana-513	363	9	,	,	PUNCT
cana-513	363	10	b.	b.	PROPN
cana-513	363	11	crowe	crowe	PROPN
cana-513	363	12	,	,	PUNCT
cana-513	363	13	m.	m.	NOUN
cana-513	363	14	van	van	PROPN
cana-513	363	15	puymbroeck	puymbroeck	NOUN
cana-513	363	16	,	,	PUNCT
cana-513	363	17	and	and	CCONJ
cana-513	363	18	h.	h.	PROPN
cana-513	363	19	zinzow	zinzow	PROPN
cana-513	363	20	,	,	PUNCT
cana-513	363	21	“	"	PUNCT
cana-513	363	22	a	a	DET
cana-513	363	23	descriptive	descriptive	ADJ
cana-513	363	24	study	study	NOUN
cana-513	363	25	of	of	ADP
cana-513	363	26	practitioners’use	practitioners’use	NOUN
cana-513	363	27	of	of	ADP
cana-513	363	28	yoga	yoga	NOUN
cana-513	363	29	with	with	ADP
cana-513	363	30	youth	youth	NOUN
cana-513	363	31	who	who	PRON
cana-513	363	32	have	have	AUX
cana-513	363	33	experienced	experience	VERB
cana-513	363	34	trauma	trauma	NOUN
cana-513	363	35	,	,	PUNCT
cana-513	363	36	”	"	PUNCT
cana-513	363	37	inter	inter	ADJ
cana-513	363	38	-	-	ADJ
cana-513	363	39	national	national	ADJ
cana-513	363	40	journal	journal	NOUN
cana-513	363	41	of	of	ADP
cana-513	363	42	child	child	NOUN
cana-513	363	43	,	,	PUNCT
cana-513	363	44	youth	youth	NOUN
cana-513	363	45	and	and	CCONJ
cana-513	363	46	family	family	NOUN
cana-513	363	47	studies	study	NOUN
cana-513	363	48	,	,	PUNCT
cana-513	363	49	vol	vol	NOUN
cana-513	363	50	.	.	PROPN
cana-513	363	51	13	13	NUM
cana-513	363	52	,	,	PUNCT
cana-513	363	53	no	no	INTJ
cana-513	363	54	.	.	NOUN
cana-513	363	55	1	1	NUM
cana-513	363	56	,	,	PUNCT
cana-513	363	57	pp	pp	ADJ
cana-513	363	58	.	.	PUNCT
cana-513	364	1	124–144	124–144	NUM
cana-513	364	2	,	,	PUNCT
cana-513	364	3	2022	2022	NUM
cana-513	364	4	.	.	PUNCT
cana-513	365	1	[	[	X
cana-513	365	2	24	24	NUM
cana-513	365	3	]	]	PUNCT
cana-513	365	4	m.	m.	NOUN
cana-513	365	5	hagins	hagin	NOUN
cana-513	365	6	,	,	PUNCT
cana-513	365	7	t.	t.	PROPN
cana-513	365	8	selfe	selfe	PROPN
cana-513	365	9	,	,	PUNCT
cana-513	365	10	k.	k.	PROPN
cana-513	365	11	innes	innes	PROPN
cana-513	365	12	,	,	PUNCT
cana-513	365	13	et	et	PROPN
cana-513	365	14	al	al	PROPN
cana-513	365	15	.	.	PROPN
cana-513	365	16	,	,	PUNCT
cana-513	365	17	“	"	PUNCT
cana-513	365	18	effectiveness	effectiveness	NOUN
cana-513	365	19	of	of	ADP
cana-513	365	20	yoga	yoga	NOUN
cana-513	365	21	for	for	ADP
cana-513	365	22	hypertension	hypertension	NOUN
cana-513	365	23	:	:	PUNCT
cana-513	365	24	sys	sys	PROPN
cana-513	365	25	-	-	ADJ
cana-513	365	26	tematic	tematic	ADJ
cana-513	365	27	review	review	NOUN
cana-513	365	28	and	and	CCONJ
cana-513	365	29	metaanalysis	metaanalysis	NOUN
cana-513	365	30	,	,	PUNCT
cana-513	365	31	”	"	PUNCT
cana-513	365	32	evidence	evidence	NOUN
cana-513	365	33	-	-	PUNCT
cana-513	365	34	based	base	VERB
cana-513	365	35	complementary	complementary	ADJ
cana-513	365	36	and	and	CCONJ
cana-513	365	37	alternative	alternative	ADJ
cana-513	365	38	medicine	medicine	NOUN
cana-513	365	39	,	,	PUNCT
cana-513	365	40	vol	vol	NOUN
cana-513	365	41	.	.	PROPN
cana-513	365	42	2013	2013	NUM
cana-513	365	43	,	,	PUNCT
cana-513	365	44	2013	2013	NUM
cana-513	365	45	.	.	PUNCT
cana-513	366	1	[	[	X
cana-513	366	2	25	25	NUM
cana-513	366	3	]	]	PUNCT
cana-513	366	4	a.	a.	PROPN
cana-513	366	5	ross	ross	PROPN
cana-513	366	6	,	,	PUNCT
cana-513	366	7	e.	e.	PROPN
cana-513	366	8	friedmann	friedmann	PROPN
cana-513	366	9	,	,	PUNCT
cana-513	366	10	m.	m.	NOUN
cana-513	366	11	bevans	bevan	NOUN
cana-513	366	12	,	,	PUNCT
cana-513	366	13	s.	s.	PROPN
cana-513	366	14	thomas	thomas	PROPN
cana-513	366	15	,	,	PUNCT
cana-513	366	16	et	et	PROPN
cana-513	366	17	al	al	PROPN
cana-513	366	18	.	.	PROPN
cana-513	366	19	,	,	PUNCT
cana-513	366	20	“	"	PUNCT
cana-513	366	21	frequency	frequency	NOUN
cana-513	366	22	of	of	ADP
cana-513	366	23	yoga	yoga	NOUN
cana-513	366	24	practice	practice	NOUN
cana-513	366	25	predicts	predict	VERB
cana-513	366	26	health	health	NOUN
cana-513	366	27	:	:	PUNCT
cana-513	366	28	results	result	NOUN
cana-513	366	29	of	of	ADP
cana-513	366	30	a	a	DET
cana-513	366	31	national	national	ADJ
cana-513	366	32	survey	survey	NOUN
cana-513	366	33	of	of	ADP
cana-513	366	34	yoga	yoga	NOUN
cana-513	366	35	practitioners	practitioner	NOUN
cana-513	366	36	,	,	PUNCT
cana-513	366	37	”	"	PUNCT
cana-513	366	38	evidence	evidence	NOUN
cana-513	366	39	-	-	PUNCT
cana-513	366	40	based	base	VERB
cana-513	366	41	complementary	complementary	ADJ
cana-513	366	42	and	and	CCONJ
cana-513	366	43	alternative	alternative	ADJ
cana-513	366	44	medicine	medicine	NOUN
cana-513	366	45	,	,	PUNCT
cana-513	366	46	vol	vol	NOUN
cana-513	366	47	.	.	PROPN
cana-513	366	48	2012	2012	NUM
cana-513	366	49	,	,	PUNCT
cana-513	366	50	2012	2012	NUM
cana-513	366	51	.	.	PUNCT
cana-513	367	1	[	[	X
cana-513	367	2	26	26	NUM
cana-513	367	3	]	]	X
cana-513	367	4	d.	d.	PROPN
cana-513	367	5	sivaramakrishnan	sivaramakrishnan	PROPN
cana-513	367	6	,	,	PUNCT
cana-513	367	7	c.	c.	PROPN
cana-513	367	8	fitzsimons	fitzsimons	PROPN
cana-513	367	9	,	,	PUNCT
cana-513	367	10	p.	p.	PROPN
cana-513	367	11	kelly	kelly	PROPN
cana-513	367	12	,	,	PUNCT
cana-513	367	13	k.	k.	PROPN
cana-513	367	14	ludwig	ludwig	PROPN
cana-513	367	15	,	,	PUNCT
cana-513	367	16	n.	n.	PROPN
cana-513	367	17	mutrie	mutrie	PROPN
cana-513	367	18	,	,	PUNCT
cana-513	367	19	d.	d.	PROPN
cana-513	367	20	h.	h.	PROPN
cana-513	367	21	saun	saun	PROPN
cana-513	367	22	-	-	PUNCT
cana-513	367	23	ders	der	NOUN
cana-513	367	24	,	,	PUNCT
cana-513	367	25	and	and	CCONJ
cana-513	367	26	g.	g.	PROPN
cana-513	367	27	baker	baker	PROPN
cana-513	367	28	,	,	PUNCT
cana-513	367	29	“	"	PUNCT
cana-513	367	30	the	the	DET
cana-513	367	31	effects	effect	NOUN
cana-513	367	32	of	of	ADP
cana-513	367	33	yoga	yoga	NOUN
cana-513	367	34	compared	compare	VERB
cana-513	367	35	to	to	ADP
cana-513	367	36	active	active	ADJ
cana-513	367	37	and	and	CCONJ
cana-513	367	38	inactive	inactive	ADJ
cana-513	367	39	controls	control	NOUN
cana-513	367	40	on	on	ADP
cana-513	367	41	physical	physical	ADJ
cana-513	367	42	function	function	NOUN
cana-513	367	43	and	and	CCONJ
cana-513	367	44	health	health	NOUN
cana-513	367	45	related	relate	VERB
cana-513	367	46	quality	quality	NOUN
cana-513	367	47	of	of	ADP
cana-513	367	48	life	life	NOUN
cana-513	367	49	in	in	ADP
cana-513	367	50	older	old	ADJ
cana-513	367	51	adultssystematic	adultssystematic	ADJ
cana-513	367	52	re	re	NOUN
cana-513	367	53	-	-	NOUN
cana-513	367	54	view	view	NOUN
cana-513	367	55	and	and	CCONJ
cana-513	367	56	meta	meta	NOUN
cana-513	367	57	-	-	PUNCT
cana-513	367	58	analysis	analysis	NOUN
cana-513	367	59	of	of	ADP
cana-513	367	60	randomised	randomised	ADJ
cana-513	367	61	controlled	control	VERB
cana-513	367	62	trials	trial	NOUN
cana-513	367	63	,	,	PUNCT
cana-513	367	64	”	"	PUNCT
cana-513	367	65	international	international	ADJ
cana-513	367	66	journal	journal	NOUN
cana-513	367	67	of	of	ADP
cana-513	367	68	behavioral	behavioral	ADJ
cana-513	367	69	nutrition	nutrition	NOUN
cana-513	367	70	and	and	CCONJ
cana-513	367	71	physical	physical	ADJ
cana-513	367	72	activity	activity	NOUN
cana-513	367	73	,	,	PUNCT
cana-513	367	74	vol	vol	NOUN
cana-513	367	75	.	.	PROPN
cana-513	367	76	16	16	NUM
cana-513	367	77	,	,	PUNCT
cana-513	367	78	no	no	INTJ
cana-513	367	79	.	.	NOUN
cana-513	367	80	1	1	NUM
cana-513	367	81	,	,	PUNCT
cana-513	367	82	pp	pp	ADJ
cana-513	367	83	.	.	PUNCT
cana-513	368	1	1–22	1–22	PROPN
cana-513	368	2	,	,	PUNCT
cana-513	368	3	2019	2019	NUM
cana-513	368	4	.	.	PUNCT
cana-513	369	1	[	[	X
cana-513	369	2	27	27	NUM
cana-513	369	3	]	]	PUNCT
cana-513	369	4	m.	m.	NOUN
cana-513	369	5	c.	c.	PROPN
cana-513	369	6	mccall	mccall	PROPN
cana-513	369	7	,	,	PUNCT
cana-513	369	8	“	"	PUNCT
cana-513	369	9	how	how	SCONJ
cana-513	369	10	might	might	AUX
cana-513	369	11	yoga	yoga	NOUN
cana-513	369	12	work	work	VERB
cana-513	369	13	?	?	PUNCT
cana-513	370	1	an	an	DET
cana-513	370	2	overview	overview	NOUN
cana-513	370	3	of	of	ADP
cana-513	370	4	potential	potential	ADJ
cana-513	370	5	underlying	underlying	ADJ
cana-513	370	6	mech	mech	NOUN
cana-513	370	7	-	-	PUNCT
cana-513	370	8	anisms	anisms	NOUN
cana-513	370	9	,	,	PUNCT
cana-513	370	10	”	"	PUNCT
cana-513	370	11	journal	journal	NOUN
cana-513	370	12	of	of	ADP
cana-513	370	13	yoga	yoga	PROPN
cana-513	370	14	&	&	CCONJ
cana-513	370	15	physical	physical	PROPN
cana-513	370	16	therapy	therapy	NOUN
cana-513	370	17	,	,	PUNCT
cana-513	370	18	vol	vol	NOUN
cana-513	370	19	.	.	PROPN
cana-513	371	1	3	3	NUM
cana-513	371	2	,	,	PUNCT
cana-513	371	3	no	no	INTJ
cana-513	371	4	.	.	NOUN
cana-513	371	5	1	1	NUM
cana-513	371	6	,	,	PUNCT
cana-513	371	7	p.	p.	NOUN
cana-513	371	8	1	1	NUM
cana-513	371	9	,	,	PUNCT
cana-513	371	10	2013	2013	NUM
cana-513	371	11	.	.	PUNCT
cana-513	372	1	[	[	X
cana-513	372	2	28	28	NUM
cana-513	372	3	]	]	X
cana-513	372	4	b.	b.	PROPN
cana-513	372	5	eggleston	eggleston	PROPN
cana-513	372	6	,	,	PUNCT
cana-513	372	7	“	"	PUNCT
cana-513	372	8	the	the	DET
cana-513	372	9	benefits	benefit	NOUN
cana-513	372	10	of	of	ADP
cana-513	372	11	yoga	yoga	NOUN
cana-513	372	12	for	for	ADP
cana-513	372	13	children	child	NOUN
cana-513	372	14	in	in	ADP
cana-513	372	15	schools	school	NOUN
cana-513	372	16	.	.	PUNCT
cana-513	373	1	,	,	PUNCT
cana-513	373	2	”	"	PUNCT
cana-513	373	3	international	international	ADJ
cana-513	373	4	journal	journal	NOUN
cana-513	373	5	of	of	ADP
cana-513	373	6	health	health	PROPN
cana-513	373	7	,	,	PUNCT
cana-513	373	8	wellness	wellness	NOUN
cana-513	373	9	&	&	CCONJ
cana-513	373	10	society	society	NOUN
cana-513	373	11	,	,	PUNCT
cana-513	373	12	vol	vol	NOUN
cana-513	373	13	.	.	PROPN
cana-513	373	14	5	5	NUM
cana-513	373	15	,	,	PUNCT
cana-513	373	16	no	no	INTJ
cana-513	373	17	.	.	NOUN
cana-513	373	18	3	3	NUM
cana-513	373	19	,	,	PUNCT
cana-513	373	20	2015	2015	NUM
cana-513	373	21	.	.	PUNCT
cana-513	374	1	[	[	X
cana-513	374	2	29	29	NUM
cana-513	374	3	]	]	X
cana-513	374	4	u.	u.	PROPN
cana-513	374	5	i.	i.	PROPN
cana-513	374	6	haridwar	haridwar	PROPN
cana-513	374	7	,	,	PUNCT
cana-513	374	8	“	"	PUNCT
cana-513	374	9	joy	joy	NOUN
cana-513	374	10	:	:	PUNCT
cana-513	374	11	the	the	DET
cana-513	374	12	journal	journal	NOUN
cana-513	374	13	of	of	ADP
cana-513	374	14	yoga	yoga	NOUN
cana-513	374	15	,	,	PUNCT
cana-513	374	16	”	"	PUNCT
cana-513	374	17	2008	2008	NUM
cana-513	374	18	.	.	PUNCT
cana-513	375	1	a	a	DET
cana-513	375	2	appendix	appendix	ADJ
cana-513	375	3	yoga	yoga	NOUN
cana-513	375	4	awareness	awareness	NOUN
cana-513	375	5	data	datum	NOUN
cana-513	375	6	collected	collect	VERB
cana-513	375	7	from	from	ADP
cana-513	375	8	20	20	NUM
cana-513	375	9	yoga	yoga	NOUN
cana-513	375	10	centers	center	NOUN
cana-513	375	11	of	of	ADP
cana-513	375	12	sudurpashchim	sudurpashchim	PROPN
cana-513	375	13	province	province	PROPN
cana-513	375	14	,	,	PUNCT
cana-513	375	15	nepal	nepal	ADJ
cana-513	375	16	yoga	yoga	NOUN
cana-513	375	17	centers	center	NOUN
cana-513	375	18	yoga	yoga	NOUN
cana-513	375	19	centers	center	NOUN
cana-513	375	20	codes	code	VERB
cana-513	375	21	yoga	yoga	NOUN
cana-513	375	22	sadhak	sadhak	PROPN
cana-513	375	23	individuals	individual	NOUN
cana-513	375	24	infected	infected	ADJ
cana-513	375	25	yoga	yoga	NOUN
cana-513	375	26	sadhak	sadhak	NOUN
cana-513	375	27	individuals	individual	NOUN
cana-513	375	28	1sk	1sk	ADJ
cana-513	375	29	20	20	NUM
cana-513	375	30	2	2	NUM
cana-513	375	31	2nk	2nk	NOUN
cana-513	375	32	30	30	NUM
cana-513	375	33	3	3	NUM
cana-513	375	34	gk	gk	NOUN
cana-513	375	35	50	50	NUM
cana-513	375	36	4	4	NUM
cana-513	375	37	tk	tk	NOUN
cana-513	375	38	60	60	NUM
cana-513	375	39	5	5	NUM
cana-513	375	40	ogk	ogk	NOUN
cana-513	375	41	80	80	NUM
cana-513	375	42	9	9	NUM
cana-513	375	43	m1k	m1k	NUM
cana-513	375	44	70	70	NUM
cana-513	375	45	6	6	NUM
cana-513	375	46	m2k	m2k	NUM
cana-513	375	47	60	60	NUM
cana-513	375	48	5	5	NUM
cana-513	375	49	m3k	m3k	NOUN
cana-513	375	50	20	20	NUM
cana-513	375	51	1	1	NUM
cana-513	375	52	d1	d1	NOUN
cana-513	375	53	30	30	NUM
cana-513	375	54	3	3	NUM
cana-513	375	55	b1	b1	NOUN
cana-513	375	56	35	35	NUM
cana-513	375	57	3	3	NUM
cana-513	375	58	b2	b2	NOUN
cana-513	375	59	35	35	NUM
cana-513	375	60	3	3	NUM
cana-513	375	61	da1	da1	NOUN
cana-513	375	62	15	15	NUM
cana-513	375	63	1	1	NUM
cana-513	375	64	do1	do1	NOUN
cana-513	375	65	20	20	NUM
cana-513	375	66	1	1	NUM
cana-513	375	67	a1	a1	NOUN
cana-513	375	68	35	35	NUM
cana-513	375	69	2	2	NUM
cana-513	375	70	ba1	ba1	NOUN
cana-513	375	71	30	30	NUM
cana-513	375	72	2	2	NUM
cana-513	375	73	kailali	kailali	NOUN
cana-513	375	74	100	100	NUM
cana-513	375	75	12	12	NUM
cana-513	375	76	online	online	ADJ
cana-513	375	77	1005	1005	NUM
cana-513	375	78	20	20	NUM
cana-513	375	79	r1	r1	NOUN
cana-513	375	80	250	250	NUM
cana-513	375	81	8	8	NUM
cana-513	375	82	r2	r2	NOUN
cana-513	375	83	12	12	NUM
cana-513	375	84	1	1	NUM
cana-513	375	85	r3	r3	NOUN
cana-513	375	86	25	25	NUM
cana-513	375	87	3	3	NUM
cana-513	375	88	table	table	NOUN
cana-513	375	89	5	5	NUM
cana-513	375	90	:	:	PUNCT
cana-513	375	91	number	number	NOUN
cana-513	375	92	of	of	ADP
cana-513	375	93	yoga	yoga	NOUN
cana-513	375	94	aware	aware	ADJ
cana-513	375	95	people	people	NOUN
cana-513	375	96	and	and	CCONJ
cana-513	375	97	aware	aware	ADJ
cana-513	375	98	infected	infected	ADJ
cana-513	375	99	people	people	NOUN
cana-513	375	100	per	per	ADP
cana-513	375	101	center	center	NOUN
cana-513	375	102	.	.	PUNCT
cana-513	376	1	communications	communication	NOUN
cana-513	376	2	on	on	ADP
cana-513	376	3	applied	apply	VERB
cana-513	376	4	nonlinear	nonlinear	ADJ
cana-513	376	5	analysis	analysis	NOUN
cana-513	376	6	issn	issn	NOUN
cana-513	376	7	:	:	PUNCT
cana-513	376	8	1074	1074	NUM
cana-513	376	9	-	-	PUNCT
cana-513	376	10	133x	133x	NUM
cana-513	376	11	vol	vol	NOUN
cana-513	376	12	31	31	NUM
cana-513	376	13	no	no	NOUN
cana-513	376	14	.	.	NOUN
cana-513	376	15	2	2	NUM
cana-513	376	16	(	(	PUNCT
cana-513	376	17	2024	2024	NUM
cana-513	376	18	)	)	PUNCT
cana-513	376	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-513	376	20	82	82	NUM
cana-513	376	21	introduction	introduction	NOUN
cana-513	376	22	model	model	NOUN
cana-513	376	23	formulation	formulation	NOUN
cana-513	376	24	assumptions	assumption	NOUN
cana-513	376	25	and	and	CCONJ
cana-513	376	26	model	model	NOUN
cana-513	376	27	framework	framework	NOUN
cana-513	376	28	positivity	positivity	NOUN
cana-513	376	29	and	and	CCONJ
cana-513	376	30	boundedness	boundedness	PROPN
cana-513	376	31	normalization	normalization	NOUN
cana-513	376	32	of	of	ADP
cana-513	376	33	the	the	DET
cana-513	376	34	model	model	NOUN
cana-513	376	35	parameter	parameter	PROPN
cana-513	376	36	estimation	estimation	PROPN
cana-513	376	37	dynamic	dynamic	ADJ
cana-513	376	38	behavior	behavior	NOUN
cana-513	376	39	of	of	ADP
cana-513	376	40	the	the	DET
cana-513	376	41	model	model	NOUN
cana-513	376	42	equilibrium	equilibrium	NOUN
cana-513	376	43	states	state	NOUN
cana-513	376	44	and	and	CCONJ
cana-513	376	45	awareness	awareness	NOUN
cana-513	376	46	reproduction	reproduction	NOUN
cana-513	376	47	number	number	NOUN
cana-513	376	48	stability	stability	NOUN
cana-513	376	49	analysis	analysis	NOUN
cana-513	376	50	local	local	ADJ
cana-513	376	51	stability	stability	NOUN
cana-513	376	52	analysis	analysis	NOUN
cana-513	376	53	global	global	ADJ
cana-513	376	54	stability	stability	NOUN
cana-513	376	55	analysis	analysis	NOUN
cana-513	376	56	sensitivity	sensitivity	NOUN
cana-513	376	57	analysis	analysis	NOUN
cana-513	376	58	and	and	CCONJ
cana-513	376	59	numerical	numerical	ADJ
cana-513	376	60	simulations	simulation	NOUN
cana-513	376	61	sensitivity	sensitivity	NOUN
cana-513	376	62	analysis	analysis	NOUN
cana-513	376	63	numerical	numerical	ADJ
cana-513	376	64	simulations	simulation	NOUN
cana-513	376	65	discussion	discussion	NOUN
cana-513	376	66	and	and	CCONJ
cana-513	376	67	conclusion	conclusion	NOUN
cana-513	376	68	discussion	discussion	NOUN
cana-513	376	69	conclusion	conclusion	NOUN
cana-513	376	70	acknowledgment	acknowledgment	NOUN
cana-513	376	71	references	reference	NOUN
cana-513	376	72	appendix	appendix	VERB